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Journal articles on the topic 'Process control Dynamics Mathematical models'

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1

Vinayak Kishan Nirmale. "Mathematical Models for Infectious Disease Dynamics and Control Strategies." Communications on Applied Nonlinear Analysis 32, no. 1s (2024): 54–62. http://dx.doi.org/10.52783/cana.v32.2101.

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The study explores mathematical models related to the dynamics of infectious diseases and approaches to manage them. These models are essential resources for comprehending how illnesses spread throughout people and assessing how well control strategies work. The study of infectious disease epidemiology heavily relies on mathematical modeling and analysis. Here, we give a clear overview of the spread of disease, explain how to mathematically model this stochastic process, and show how to utilize this mathematical representation to analyze the emergent dynamics of real-world epidemics. The advan
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N. Sridhar, Lakshmi. "Dynamics of Leukemia Models." International Journal of Clinical Case Reports and Reviews 27, no. 03 (2025): 01–11. https://doi.org/10.31579/2690-4861/860.

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Millions of people are affected by leukemia. It is important to understand the progression dynamics of this disease to be able to minimize the damage that is caused by it. This article provides a mathematical framework to develop strategies to control leukemia. Bifurcation analysis is a powerful mathematical tool used to deal with the nonlinear dynamics of any process. Several factors must be considered, and multiple objectives must be met simultaneously. Bifurcation analysis and multiobjective nonlinear model predictive control (MNLMPC) calculations are performed on three leukemia models. The
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Sridhar*, Lakshmi N. "Dynamics of Leukemia Models." Journal of Biomedical Research & Environmental Sciences 6, no. 6 (2025): 829–39. https://doi.org/10.37871/jbres2135.

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Millions of people are affected by leukemia. It is important to understand the progression dynamics of this disease to be able to minimize the damage that is caused by it. This article provides a mathematical framework to develop strategies to control leukemia. Bifurcation analysis is a powerful mathematical tool used to deal with the nonlinear dynamics of any process. Several factors must be considered, and multiple objectives must be met simultaneously. Bifurcation analysis and Multiobjective Nonlinear Model Predictive Control (MNLMPC) calculations are performed on three leukemia models. The
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Park, Joseph, George Sugihara, and Gerald Pao. "Control of complex systems with generalized embedding and empirical dynamic modeling." PLOS ONE 19, no. 8 (2024): e0305408. http://dx.doi.org/10.1371/journal.pone.0305408.

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Effective control requires knowledge of the process dynamics to guide the system toward desired states. In many control applications this knowledge is expressed mathematically or through data–driven models, however, as complexity grows obtaining a satisfactory mathematical representation is increasingly difficult. Further, many data–driven approaches consist of abstract internal representations that may have no obvious connection to the underlying dynamics and control, or, require extensive model design and training. Here, we remove these constraints by demonstrating model predictive control f
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Prof.Divya, K.Pai. "Mathematical Model of Chemical Reactor Plant and Heat Exchanger Dynamics with Control Design Techniques." Journal of Instrumentation and Innovation Sciences 3, no. 3 (2018): 21–29. https://doi.org/10.5281/zenodo.1480812.

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<em>Mathematical Models are sets of equations that describe a process or System. All engineering programs need Mathematical model before real time implementation of any system, to determine how the process reacts to numerous inputs. Although the bodily gadget is available for experimentation the process usually may be very high priced. Mathematical modeling of a chemical reactor is acquired via the material balance equations and using differential equations, Laplace transforms, Linearizing the Non-Liner equations via Taylor series, obtainingthe transfer function models and finally the design o
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ZAVADSKY, SERGEY V., DMITRI A. OVSYANNIKOV, and SHENG-LUEN CHUNG. "PARAMETRIC OPTIMIZATION METHODS FOR THE TOKAMAK PLASMA CONTROL PROBLEM." International Journal of Modern Physics A 24, no. 05 (2009): 1040–47. http://dx.doi.org/10.1142/s0217751x09044486.

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Mathematical models of the structural parametric optimization of plasma dynamics are discussed. Optimization approach to plasma dynamic is based on the consideration of trajectory ensemble. This ensemble describes transient process in tokamak subject to the initial data and external disturbances. In the framework of this approach the optimization of dynamics of the trajectory ensemble in ITER tokamak is given. The trajectories of this ensemble are perturbed at the initial point set and the set of external disturbances.
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Jannatun, Irana Ira, Shahidul Islam Md., C. Misra J, and Kamrujjaman Md. "Mathematical Modelling of the Dynamics of Tumor Growth and its Optimal Control." International Journal of Ground Sediment & Water 2020, no. 11 (2020): 659–79. https://doi.org/10.5281/zenodo.4275629.

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<strong>Abstract: </strong>In the last few decades, the dynamics of tumor cells and their growths are presented via clinical, experimental, and theoretical approaches, which leads to the development of the new idea of multiple cancer therapies to control and reduce the death rate for earlier detection. In this paper, we discussed the dynamics of tumor cell growth and its treatment process. We analyzed some simple mathematical models and generalized the study to understand the growth of tumor cells. The main proposed model is a system of ordinary differential equations which combines interactio
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N Sridhar, Lakshmi. "Dynamics of Chemoimmunotherapy Models." Journal of Innovative Clinical Trials and Case Reports 1, no. 1 (2025): 1–10. https://doi.org/10.63721/25jctc0106.

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Chemoimmunotherapy is chemotherapy combined with immunotherapy. Chemotherapy uses different drugs to kill or slow the growth of cancer cells; immunotherapy uses treatments to stimulate or restore the ability of the immune system to fight cancer. Both chemotherapy and immunotherapy are highly nonlinear processes that several factors affect. The two treatments together would be very highly nonlinear. It is necessary to understand and control this combined treatment. Bifurcation analysis is a powerful mathematical tool used to deal with the nonlinear dynamics of any process. Several factors must
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Barrios Sánchez, Jorge Manuel, Roberto Baeza Serrato, and Marco Bianchetti. "Design and Development of a Mathematical Model for an Industrial Process, in a System Dynamics Environment." Applied Sciences 12, no. 19 (2022): 9855. http://dx.doi.org/10.3390/app12199855.

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This research proposes a methodology based on control engineering, transforming the simulation model of system dynamics into a mathematical model expressed as a system transfer function. The differential equations of a time domain present in the Forrester diagram are transformed into a frequency domain based on the Laplace transform. The conventional control engineering technique is used to present and reduce the dynamic system in a block diagram as a mechanism for determining the structure of the system. The direct path equation and the feedback equation are determined to obtain mathematical
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Kochuk, Serhii, Dinh Dong Nguyen, Artem Nikitin, and Rafael Trujillo Torres. "Identification of UAV model parameters from flight and computer experiment data." Aerospace technic and technology, no. 6 (November 29, 2021): 12–22. http://dx.doi.org/10.32620/aktt.2021.6.02.

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The object of research in the article is various well-known approaches and methods of structural and parametric identification of dynamic controlled objects - unmanned aerial vehicles (UAVs). The subject of the research is the parameters of linear and nonlinear mathematical models of spatial and isolated movements, describing the dynamics and aerodynamic properties of the UAV and obtained both from the results of flight experiments and using computer object-oriented programs for 3-D UAV models. The goal is to obtain mathematical models of UAV flight dynamics in the form of differential equatio
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Jia, Xiao Yi, Yu Tian Lin, Hui Bin Lin, Ling Gao, Jian Qun Lin, and Jian Qiang Lin. "Mathematical Modeling of CSTR Bioreactor Control for Production of Recombinant Protein." Advanced Materials Research 894 (February 2014): 311–15. http://dx.doi.org/10.4028/www.scientific.net/amr.894.311.

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Fermentation process using recombinant strain for production of recombinant protein is widely used in commercialization of the biotechnologies. The continuous stirred tank reactor (CSTR) is a typical microbial cultivation method, has the major advantage of high productivity. Mathematical modeling and simulation is useful for analysis and optimization of the CSTR fermentation process. Most of the mathematical models developed for CSTR are black box models without information of the intracellular dynamics and regulations. In this research, a mathematical model is built based on gene regulation f
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NS*, Lakshmi. "Analysis and Control of Alzheimers Disease Models." Journal of Biomedical Research & Environmental Sciences 6, no. 6 (2025): 704–14. https://doi.org/10.37871/jbres2124.

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Millions of people are affected by Alzheimer's disease, which is a progressive neurodegenerative disorder. It is important to understand the progression dynamics of this disease to be able to minimize the damage that is caused by it. This article provides a mathematical framework to develop strategies to slow down the progression of Alzheimer's disease. Bifurcation analysis is a powerful mathematical tool used to deal with the nonlinear dynamics of any process. Several factors must be considered, and multiple objectives must be met simultaneously. Bifurcation analysis and Multiobjective Nonlin
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Al Salaimeh, Safwan. "MATHEMATICAL MODELS FOR COMPUTERIZED CONTROL SYSTEM." Gulustan-Black Sea Scientific Journal of Academic Research 48, no. 05 (2019): 119–23. http://dx.doi.org/10.36962/gbssjar119.

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The software is a set of mathematical methods, and algorithms of information processing, which used in creating the control system. When designing control systems, Initial data for the design of control system. The tasks of the computerized control system are understood as a part of the computerized functions of the computerized control system characterized by the outcomes and outputs in specific form. control function is: commutative action for computerized control system, aimed to achieve a criterion goal. Depending on the properties of the process and their mathematical description can be c
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Sridhar, Lakshmi N. "Dynamics of Chemotherapy Models." Journal of Innovative Clinical Trials and Case Reports 1, no. 1 (2025): 1–9. https://doi.org/10.63721/25jctc0105.

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Chemotherapy is a drug treatment that uses powerful chemicals to kill fast-growing cancer cells. Cancer cells grow and multiply much more quickly than most cells in the body, and it is necessary to destroy the cancerous cells to prevent the loss of life. Many different chemotherapy drugs are available. Since cancer cells multiply rapidly, the interaction dynamics between the drugs and the cancer cells need to be understood and controlled. Bifurcation analysis is a powerful mathematical tool used to describe the dynamics of any process. Several factors must be considered, and multiple objective
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Barrios Sánchez, Jorge Manuel, and Roberto Baeza Serrato. "Design and Development of an Optimal Control Model in System Dynamics through State-Space Representation." Applied Sciences 13, no. 12 (2023): 7154. http://dx.doi.org/10.3390/app13127154.

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Control engineering and state-space representation are valuable tools in the analysis and design of dynamic systems. In this research, a methodology is proposed that uses these approaches to transform a system-dynamics simulation model into a mathematical model. This is achieved by expressing input, output and state variables as input, output and state vectors, respectively, allowing the representation of the model in matrix form. The resulting model is linear and time-invariant, facilitating its analysis and design. Through the use of this methodology, the system transfer matrix is obtained,
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16

Vukobratović, M. K., V. F. Filaretov, and A. I. Korzun. "A unified approach to mathematical modelling of robotic manipulator dynamics." Robotica 12, no. 5 (1994): 411–20. http://dx.doi.org/10.1017/s0263574700017963.

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SUMMARYA new method for computer forming of dynamic equations of open-chain mechanical robot configurations is presented. The algorithm used is of a numeric-iterative type, based on mathematical apparatus of screw theory, which has enabled elimination of the unnecessary computations in the process of dynamic model derivation. In addition to conventional kinematic schemes of robotic manipulators, the branched kinematic chains which have recently found their application in the locomotion of robotic mechanisms were also treated. Both the inverse and direct problems of dynamics were addressed. A c
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Kotov, Borys, Valentyn Mironenko, Serhii Stepanenko, Volodymyr Gryshchenko, Yurii Pantsyr, and Ihor Gerasimchuk. "Mathematical Modeling of the Material Drying Process in a Drum Dryer as an Object of Automatic Control." National Interagency Scientific and Technical Collection of Works. Design, Production and Exploitation of Agricultural Machines, no. 54 (2024): 202–14. https://doi.org/10.32515/2414-3820.2024.54.202-214.

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The aim of this research is to develop a mathematical description of the material drying process in drum dryers, create simplified models for analyzing the dynamics of this process, and formulate a conceptual model for automatic control of drying equipment to improve its efficiency. The study proposes a mathematical description of the drying process in the form of a system of nonlinear partial differential equations, modeling the unsteady temperature-moisture regime of the material. Simplified models were developed for dynamic process analysis, implemented in MathCad and Matlab Simulink enviro
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Sridhar, Lakshmi N. "Analysis and Control of Brain Dynamic Models." Journal of Innovative Clinical Trials and Case Reports 1, no. 1 (2025): 1–10. https://doi.org/10.63721/25jctc0104.

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The nonlinear behavior of the brain's information processing represents one of the key tasks in modern neuroscience, and a lot of research has been conducted in trying to rhythmicity in brain networks. Bifurcation analysis is a powerful mathematical tool used to deal with the nonlinear dynamics of any process. Several factors must be considered, and multiple objectives must be met simultaneously. Bifurcation analysis and multiobjective nonlinear model predictive control (MNLMPC) calculations are performed on two brain dynamic models. The MATLAB program MATCONT was used to perform the bifurcati
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L., V. URSULYAK, and O. SHVETS A. "IMPROVEMENT OF MATHEMATICAL MODELS FOR ESTIMATION OF TRAIN DYNAMICS." Science and Transport Progress, no. 6(72) (December 8, 2017): 70–82. https://doi.org/10.15802/stp2017/118002.

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<strong>Purpose</strong>. Using scientific publications the paper analyzes the mathematical models developed in Ukraine, CIS countries and abroad for theoretical studies of train dynamics and also shows the urgency of their further improvement.&nbsp;<strong>Methodology</strong>. Information base of the research was official full-text and abstract databases, scientific works of domestic and foreign scientists, professional periodicals, materials of scientific and practical conferences, methodological materials of ministries and departments.&nbsp;Analysis of publications on existing mathematical
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Korniyenko, Bogdan, and Andrii Nesteruk. "Mathematical modelling of granulation process in fluidised bed (overview of models)." Proceedings of the NTUU “Igor Sikorsky KPI”. Series: Chemical engineering, ecology and resource saving, no. 2 (June 30, 2022): 51–59. http://dx.doi.org/10.20535/2617-9741.2.2022.260349.

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One of the most common methods of making mineral fertilizers is granulation. Fertilizers in the form of granules have a number of advantages over conventional fertilizers in the form of powder or liquid, namely, ease of transportation, well absorbed and less susceptible to weathering from the soil, convenient to use. To obtain solid particles from liquid starting material such as solutions, emulsions or suspensions, the following processes are used: crystallization, granulation, spray drying. Depending on the focus of the study, the fluidized bed granulation process can be modeled at different
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Ritonja, Jožef, Andreja Goršek, Darja Pečar, Tatjana Petek, and Boštjan Polajžer. "Dynamic Modeling of the Impact of Temperature Changes on CO2 Production during Milk Fermentation in Batch Bioreactors." Foods 10, no. 8 (2021): 1809. http://dx.doi.org/10.3390/foods10081809.

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Knowledge of the mathematical models of the fermentation processes is indispensable for their simulation and optimization and for the design and synthesis of the applicable control systems. The paper focuses on determining a dynamic mathematical model of the milk fermentation process taking place in a batch bioreactor. Models in the literature describe milk fermentation in batch bioreactors as an autonomous system. They do not enable the analysis of the effect of temperature changes on the metabolism during fermentation. In the presented extensive multidisciplinary study, we have developed a n
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Kosyanov, Nikita, Elena Gubar, and Vladislav Taynitskiy. "MPC Controllers in SIIR Epidemic Models." Computation 11, no. 9 (2023): 173. http://dx.doi.org/10.3390/computation11090173.

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Infectious diseases are one of the most important problems of the modern world, for example, the periodic outbreaks of coronavirus infections caused by COVID-19, influenza, and many other respiratory diseases have significantly affected the economics of many countries. Hence, it is therefore important to minimize the economic damage, which includes both loss of work and treatment costs, quarantine costs, etc. Recent studies have presented many different models describing the dynamics of virus spread, which help to analyze the epidemic outbreaks. In the current work we focus on finding solution
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Aponte-Rengifo, Oscar, Mario Francisco, Ramón Vilanova, Pastora Vega, and Silvana Revollar. "Intelligent Control of Wastewater Treatment Plants Based on Model-Free Deep Reinforcement Learning." Processes 11, no. 8 (2023): 2269. http://dx.doi.org/10.3390/pr11082269.

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In this work, deep reinforcement learning methodology takes advantage of transfer learning methodology to achieve a reasonable trade-off between environmental impact and operating costs in the activated sludge process of Wastewater treatment plants (WWTPs). WWTPs include complex nonlinear biological processes, high uncertainty, and climatic disturbances, among others. The dynamics of complex real processes are difficult to accurately approximate by mathematical models due to the complexity of the process itself. Consequently, model-based control can fail in practical application due to the mis
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Zamula, Alina, and Sergii Kavun. "Complex systems modeling with intelligent control elements." International Journal of Modeling, Simulation, and Scientific Computing 08, no. 01 (2017): 1750009. http://dx.doi.org/10.1142/s179396231750009x.

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The approach to managing complex systems through the usage of fuzzy technology in combination with the system-dynamic modeling is improved. The methods of system dynamics and artificial intelligence represented the research subject. Object of study includes process operation of complex systems. For the experiment selected banking system (BS) and commercial bank (CB) as its subsystem. The mathematical models of the BS and CBs are developed; elements of intelligent control are formalized. The knowledge base in the form of production rules is designed in the paper. Functions of fuzzy variables an
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M. SALMAN, AMER, and MOHD HAFIZ MOHD. "SUSTAINABLE COVID-19 CONTROL MEASURES: A MATHEMATICAL MODELLING STUDY." JOURNAL OF SUSTAINABILITY SCIENCE AND MANAGEMENT 19, no. 6 (2024): 25–35. http://dx.doi.org/10.46754/jssm.2024.06.003.

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Mathematical modelling techniques have become essential in predicting the consequences of viral disease outbreaks and in planning sustainable preventative measures to curb their transmission dynamics. To better understand the sustainable evolution of the control measures’ impacts on COVID-19 transmissions, a reaction-diffusion system is employed to describe the epidemiological phenomenon through two processes: (i) A reaction process of SEIRS-type (Susceptible, Exposed, Infected, Recovered, and Susceptible) kinetics; and (ii) a diffusion process that models local dispersal of individuals throug
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Nguyen, Nhu Tuong An, Vinh Quang Do, The Thinh Pham, and Tuan Tran Nguyen. "Application of different control algorithms on a ‘home-made’ temperature control lab kit." Can Tho University Journal of Science 14, no. 1 (2022): 62–73. http://dx.doi.org/10.22144/ctu.jen.2022.007.

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Providing enough facilities for students to do laboratory activities is important. An existing useful kit was proposed for students learning a variety of control engineering topics. A temperature control lab kit is made from scratch using common electronics components as a replacement for the original TCLab introduced by Hedengren (Hedengren et al., 2019). Mathematical models of the system derived from theoretical and experimental methods are simulated in Matlab/Simulink to verify their accuracy to the physical kit. Different control algorithms such as: On/Off, PID, Fuzzy are then applied on t
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Khvostov, A. A., A. A. Zhuravlev, E. A. Shipilova, R. S. Sumina, G. O. Magomedov, and I. A. Khaustov. "Simulink models of technological systems with perfect mixing and plug-flow hydrodynamics." Proceedings of the Voronezh State University of Engineering Technologies 81, no. 3 (2019): 28–38. http://dx.doi.org/10.20914/2310-1202-2019-3-28-38.

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The dynamic models of elements of technological systems with perfect mixing and plug-flow hydrodynamics are based on the systems of algebraic and differential equations that describe a change in the basic technological parameters. The main difficulty in using such models in MathWorks Simulink™ computer simulation systems is the representation of ordinary differential equations (ODE) and partial differential equations (PDE) that describe the dynamics of a process as a MathWorks Simulink™ block set. The study was aimed at developing an approach to the synthesis of matrix dynamic models of elemen
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Alzbutas, R., and V. Janilionis. "THE SIMULATION OF DYNAMIC SYSTEMS USING COMBINED MODELLING." Mathematical Modelling and Analysis 5, no. 1 (2000): 7–17. http://dx.doi.org/10.3846/13926292.2000.9637123.

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The new approach to the problems of dynamic systems simulation is proposed. The analytical and imitation modelling of non‐linear complex dynamic systems which comprise simulation of continuous and discrete processes with constant and variable parameters, are investigated. The aggregate mathematical modelling scheme [1] and the method of control sequences for discrete systems specification and simulation are used as well as the dynamic mathematical modelling scheme for continuous process formalization and modelling. According to them the investigated systems are presented as the set of interact
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Wang, Zixiong, Xiaoyi Wang, Guotao Zhang, and Fangling Liang. "Numerical study of the seepage behavior of droplets in porous materials." Journal of Physics: Conference Series 2760, no. 1 (2024): 012069. http://dx.doi.org/10.1088/1742-6596/2760/1/012069.

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Abstract This article analyzes the spread and infiltration dynamic process of liquid droplets on the surface of porous materials and establishes a mathematical model of dynamic changes in droplets. To accurately describe the dynamic effects of droplet flow, a mathematical model of droplet dynamics was developed by applying the level-set method, and the seepage process of the droplets was also analyzed numerically. The effects of a series of control parameters on the droplet percolation process are analyzed, and the pore degree of porous materials performed a numerical study of the droplet defo
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ДИВАК, МИКОЛА, та ВАДИМ ЗАБЧУК. "МОДЕЛЮВАННЯ ХАРАКТЕРИСТИК ПРОЦЕСІВ У БІОГАЗОВИХ УСТАНОВКАХ НА ОСНОВІ АНАЛІЗУ ІНТЕРВАЛЬНИХ ДАНИХ". Herald of Khmelnytskyi National University. Technical sciences 331, № 1 (2024): 180–90. http://dx.doi.org/10.31891/2307-5732-2024-331-28.

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The problems of the research presented in the work relate to mathematical modeling in order to reflect the relationship between the main characteristic of the process and the factors that affect it, as well as the dynamics of the main characteristic of the process, which is determined by the acidity of the substrate in the bioreactor. To build mathematical models of both types, it is proposed to use the methods of parametric and structural identification of models of static objects and discrete models of object dynamics based on the analysis of interval data. An universal approach based on met
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Shmalko, Elizaveta, Yuri Rumyantsev, Ruslan Baynazarov, and Konstantin Yamshanov. "Identification of Neural Network Model of Robot to Solve the Optimal Control Problem." Informatics and Automation 20, no. 6 (2021): 1254–78. http://dx.doi.org/10.15622/ia.20.6.3.

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To calculate the optimal control, a satisfactory mathematical model of the control object is required. Further, when implementing the calculated controls on a real object, the same model can be used in robot navigation to predict its position and correct sensor data, therefore, it is important that the model adequately reflects the dynamics of the object. Model derivation is often time-consuming and sometimes even impossible using traditional methods. In view of the increasing diversity and extremely complex nature of control objects, including the variety of modern robotic systems, the identi
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Beglov, Konstantin V., Victoria I. Kryvda, Oleksandr А. Klymchuk, Vladyslav R. Zhukovskyi, Oleksandr V. Yavorskyi, and Gennady Io Galanter. "Comparison of mathematical models of power generation equipment in transient process simulation in energy systems." ELECTRICAL AND COMPUTER SYSTEMS, no. 42(118) (2025): 32–42. https://doi.org/10.15276/eltecs.42.118.2025.4.

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Abstract. The aim of this study is to develop approaches for improving the efficiency of transient characteristic modeling of a nuclear power plant (NPP) unit by approximating dynamic processes using first- and second-order functions. This will reduce the simulation time for combined energy systems, which include power generation sources with different physical operating principles (NPPs, thermal power plants, hydroelectric power plants, wind farms, etc.). This work is aimed at ensuring the selection of a simulation model of equipment that best meets the goals of future research, including the
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Gallego, Antonio J., Manuel Macías, Fernando de de Castilla, and Eduardo F. Camacho. "Mathematical modeling of the Mojave Solar Plants." Energies 12, no. 21 (2019): 4197. http://dx.doi.org/10.3390/en12214197.

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Competitiveness of solar energy is one of current main research topics. Overall efficiency of solar plants can be improved by using advanced control strategies. To design and tuning properly advanced control strategies, a mathematical model of the plant is needed. The model has to fulfill two important points: (1) It has to reproduce accurately the dynamics of the real system; and (2) since the model is used to test advanced control strategies, its computational burden has to be as low as possible. This trade-off is essential to optimize the tuning process of the controller and minimize the co
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Dyvak, Mykola, Andriy Melnyk, Andriy Pukas, and Libor Dostalek. "Control of mathematical modeling process of dynamics of harmful substances concentrations on the basis of ontological approach." Computational Problems of Electrical Engineering 12, no. 1 (2022): 7–16. http://dx.doi.org/10.23939/jcpee2022.01.007.

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The problem of building a mathematical model of the dynamics of nitrogen dioxide concentrations at different parts of the city is considered in the paper. The peculiarities of the construction of such models on the basis of periodic measurement of concentrations of harmful substances and identification on the basis of the measurements obtained are considered. This paper also proposes an ontological approach as a control tool that greatly simplifies the systematic standardized methods of the models storage, the process of their construction and appropriate usage in practice. The use of the onto
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Ryzhova, I. M., Vladimir A. Romanenkov, and Viktor M. Stepanenko. "Modern development of soil organic matter dynamics models (review)." Lomonosov Soil Science Journal 79, no. 4, 2024 (2024): 122–29. https://doi.org/10.55959/msu0137-0944-17-2024-79-4-122-129.

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Soils are the largest terrestrial reservoir of organic carbon, so even small changes in soil carbon stocks can have significant effects on the atmosphere and climate. To select effective strategies to mitigate climate change, predictions of how soils will respond to future changes in climate and land use are needed. Achieving meaningful predictions requires a deep understanding of the highly complex, open, multicomponent soil organic matter system. One of the most effective methods for predicting the dynamics of soil organic matter is mathematical modeling. Process-oriented (physically based)
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Slivinskas, Kastytis, Vladimir Gichan, Vytautas Striška, and Algimantas Juozas Poška. "Optimization of Transport Movement Parameters of the Transfer Manipulator for the Quenching Bath According to the Technological Process Requirements." Solid State Phenomena 164 (June 2010): 411–18. http://dx.doi.org/10.4028/www.scientific.net/ssp.164.411.

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The paper analyzes problems related to optimal selection and possible control of parameters of transport movements of the manipulator serving galvanizing and quenching baths. Evaluation of the acceleration and braking processes as well as minimization of the deflection during oscillations of the suspended loading are considered. Mathematical models of the transfer manipulator together with the loading unit were developed, which enable dynamic evaluation of transporting movements. Calculations of the dynamics of the model and simulations of the transfer process were performed. The obtained rese
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Wolkenhauer, O., S. N. Sreenath, P. Wellstead, M. Ullah, and K. H. Cho. "A systems- and signal-oriented approach to intracellular dynamics." Biochemical Society Transactions 33, no. 3 (2005): 507–15. http://dx.doi.org/10.1042/bst0330507.

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A mathematical understanding of regulation, and, in particular, the role of feedback, has been central to the advance of the physical sciences and technology. In this article, the framework provided by systems biology is used to argue that the same can be true for molecular biology. In particular, and using basic modular methods of mathematical modelling which are standard in control theory, a set of dynamic models is developed for some illustrative cell signalling processes. These models, supported by recent experimental evidence, are used to argue that a control theoretical approach to the m
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38

Feldblium, I. V., V. G. Akimkin, A. V. Alimov, et al. "NEW APPROACHES TO ASSESSING AND FORECASTING MORBIDITY WITH ENTEROVIRUS (NON-POLIO) INFECTION IN THE RUSSIAN FEDERATION USING MATHEMATICAL MODELS." Health Risk Analysis, no. 3 (September 2021): 108–17. http://dx.doi.org/10.21668/health.risk/2021.3.10.

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At present it is impossible to develop epidemiologic surveillance and control over any infection regarding studies on dynamics of morbidity, seasonality and periodicity without using mathematical modeling techniques. Our research goal was to study regularities in manifestations of epidemic process for enterovirus (non-polio) infection (EVnI) in the Russian Federation over 14 years (2006–2019) using mathematical models (linear, logarithmic, power, and exponential approximation).An optimal mathematical model was selected using three statistical parameters, namely determination coefficient, Fisch
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39

Feldblium, I. V., V. G. Akimkin, A. V. Alimov, et al. "NEW APPROACHES TO ASSESSING AND FORECASTING MORBIDITY WITH ENTEROVIRUS (NON-POLIO) INFECTION IN THE RUSSIAN FEDERATION USING MATHEMATICAL MODELS." Health Risk Analysis, no. 3 (September 2021): 108–17. http://dx.doi.org/10.21668/health.risk/2021.3.10.eng.

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At present it is impossible to develop epidemiologic surveillance and control over any infection regarding studies on dynamics of morbidity, seasonality and periodicity without using mathematical modeling techniques. Our research goal was to study regularities in manifestations of epidemic process for enterovirus (non-polio) infection (EVnI) in the Russian Federation over 14 years (2006–2019) using mathematical models (linear, logarithmic, power, and exponential approximation).An optimal mathematical model was selected using three statistical parameters, namely determination coefficient, Fisch
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40

Kovalenko, O. Ye, and V. L. Kosolapov. "Stability model of agent-based situational control system." Mathematical machines and systems 3 (2020): 93–104. http://dx.doi.org/10.34121/1028-9763-2020-3-93-104.

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While managing complex systems, it is advisable to use mathematical models adequate to real systems, which can be used for generalized model analysis of different solutions in systems of situational man-agement (SSM). Such mathematical models are an important component of the SSM in the process of supporting the adoption of important strategic and operational decisions at various levels of government. Implementation of SSM in the form of a multi-agent system, due to its characteristics, is an adequate approach to solving the problems of situational management (SM). According to the context of
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Kotov, B. I., V. O. Hryshchenko, S. P. Stepanenko, Y. I. Pantsir, and I. D. Gerasimchuk. "Mathematical model of system dynamics for heat utilization from ventilation emissions with intermediate heat carrier as an object of automation." Mehanization and electrification of agricultural, no. 14(113) (2021): 88–97. http://dx.doi.org/10.37204/0131-2189-2021-14-9.

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Annotation Purpose. Formulation of a mathematical description of the non-stationary thermal regime of the heat utilization system of ventilation emissions on the basis of a heat exchanger with an intermediate heat carrier for industrial premises. Methods. The specificity of the object under study determines the analytical method of research, which is based on the analysis of the thermal balance of the elements of the studied system and the heat and energy connections between them. Results. A mathematical description of the dynamics of the thermal process in a recuperative heat recovery unit wi
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42

Ryzhova, I. M., V. A. Romanenkov, and V. M. Stepanenko. "Modern Development of Soil Organic Matter Dynamics Models (Review)." Moscow University Soil Science Bulletin 79, no. 4 (2024): 493–99. https://doi.org/10.3103/s0147687424700467.

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Abstract Soils are the largest terrestrial reservoir of organic carbon, and so even small changes in soil carbon stocks can have significant effects on the atmosphere and climate. To select effective strategies to mitigate climate change, predictions of how soils will respond to future changes in climate and land use are needed. Achieving meaningful predictions requires a deep understanding of the highly complex, open, multicomponent soil organic matter system. One of the most effective methods for predicting the dynamics of soil organic matter is mathematical modeling. Process-oriented (physi
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Suhika, Dewi, Roberd Saragih, Dewi Handayani, and Mochamad Apri. "Optimal control strategies based on extended Kalman filter in mathematical models of COVID-19." International Journal of Electrical and Computer Engineering (IJECE) 14, no. 6 (2024): 6300. http://dx.doi.org/10.11591/ijece.v14i6.pp6300-6312.

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The Omicron variant of the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) virus is an extremely contagious variant that has garnered global attention due to its potential for rapid spread and its impact on the effectiveness of vaccines and non-pharmacological measures. In this paper, we investigate mathematical models involving vaccinated individuals and control functions to analyze how the spread of coronavirus disease 2019 (COVID-19) infection evolves over time. In the process of constructing a mathematical model for COVID-19, there are many parameters whose values are not yet
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Zhuchenko, Anatolii, Ruslan Osipa, Liudmyla Osipa, and Lesia Ladieva. "Algorithm for controlling the process of buffer wastewater neutralization." Proceedings of the NTUU “Igor Sikorsky KPI”. Series: Chemical engineering, ecology and resource saving, no. 3 (September 29, 2021): 27–35. http://dx.doi.org/10.20535/2617-9741.3.2021.241028.

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In Ukraine, the condition of surface water near industrial enterprises is extremely critical. The operation of enterprises leads to intensive water pollution with industrial and domestic wastewater. Therefore, improving the quality of treatment facilities through the introduction of automated control systems is an urgent problem.&#x0D; For the operation of automated control systems for typical cleaning processes, a software package is required, which is developed on the basis of appropriate algorithmic software and mathematical models of processes. To obtain them, methods of mathematical and s
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Madear, Gelu, and Camelia Madear. "Environmental modelling - a modern tool towards sustainability." MATEC Web of Conferences 342 (2021): 03013. http://dx.doi.org/10.1051/matecconf/202134203013.

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One way to solve environmental problems is through modelling. Humankind developed a series of models, from mental models, physical models to computer simulation models. Building a model assumes abstraction, simplifying the natural system by considering only the essential details and discarding irrelevant ones. Mapping the real worlds to the world of models is done by choosing an abstraction level and the corresponding modelling tool. The right abstraction level is paramount for any modelling project, depending on the real problem being analysed. In modern simulation modelling, there are three
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Liashenko, Serhii, Victor Kis, Oleksandr Kis, and Yevhenii Leshchenko. "Determination the parameters of model the technological process of diffusion in sugar production on the basis of neuro network identification." Ukrainian Journal of Applied Economics and Technology 8, no. 1 (2023): 241–47. http://dx.doi.org/10.36887/2415-8453-2023-1-35.

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The article considers the sugar industry's importance in the country's food supply. The complexity of technological processes characterizes sugar factories. A system analysis of the technical operation of diffusion and an analysis of indicators of the diffusion process in the diffusion equipment were carried out. An analysis of the mathematical support of automated control systems of complex technological processes is given. The assessment of material, quality, and energy indicators was carried out, as well as the formation of the necessary information variables, which makes it possible to det
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Petrakov, Yuri, Oleksandr Okhrimenko, and Maksim Sikailo. "Identification of dynamics for machining systems." Mechanics and Advanced Technologies 8, no. 4(103) (2024): 337–45. https://doi.org/10.20535/2521-1943.2024.8.4(103).305837.

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Cutting processes are carried out in an elastic machining system, which is multi-mass with negative and positive loop control with a delay in construed mathematical models. Its behavior during the cutting process is entirely determined by dynamic properties and an adequate parameters of mathematical model is necessary to control the process. The paper proposes a method for identifying such dynamic parameters of the machining system, which include natural vibration frequencies, vibration damping coefficients, and stiffness of the replacement model of single-mass system in the direction of the m
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Rizk, Hanan, Ahmed Chaibet, and Ali Kribèche. "Model-Based Control and Model-Free Control Techniques for Autonomous Vehicles: A Technical Survey." Applied Sciences 13, no. 11 (2023): 6700. http://dx.doi.org/10.3390/app13116700.

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Autonomous driving has the potential to revolutionize mobility and transportation by reducing road accidents, alleviating traffic congestion, and mitigating air pollution. This transformation can result in energy efficiency, enhanced convenience, and increased productivity, as valuable driving time can be repurposed for other activities. The main objective of this paper is to provide a comprehensive technical survey of the latest research in the field of lateral, longitudinal, and integrated control techniques for autonomous vehicles. The survey aims to explore a wide range of techniques and m
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Grządziela, Andrzej, and Stanisław Hożyń. "Simulation Tests of a Drive Shaft and Propeller Control Subsystem for a Fast Boat." Polish Maritime Research 31, no. 2 (2024): 20–28. http://dx.doi.org/10.2478/pomr-2024-0018.

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Abstract This paper presents an analysis of the acceleration of a fast boat using a simulation model. Mathematical equations of ship motion dynamics with two types of propeller capabilities are developed using MATLAB and Simulink as simulation tools. The equations are extended to include the acting thrust, resistance, propeller’s performance curves, and the PID governor curve for the acceleration manoeuvre. The application models the dynamic differential equations representing the vessel dynamics in one degree of freedom. MATLAB code was used to develop the ship acceleration as a multibody sys
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Khusainov, Denis, Andrey Shatyrko, Alexey Bychkov, Bedrick Puza, and Veronika Novotna. "INVESTIGATION OF THE IMPACT OF DELAY IN ONE MATHEMATICAL MODEL OF WORLD DEVELOPMENT DYNAMICS." Journal of Automation and Information sciences 6 (November 1, 2021): 47–54. http://dx.doi.org/10.34229/1028-0979-2021-6-5.

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There is a large number of works devoted to the dynamics of world development. But very few of them have clear abstract mathematical models of the corresponding processes. This work is devoted to further deepening and mathematical abstraction of the study of world development process. The qualitative analysis of linear and modified nonlinear model in the form of systems of inhomogeneous differential equations is carried out. Their steady states are calculated, explicit analytical solutions are presented. For the first time, a model taking into account the time delay factor is proposed, which i
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