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Journal articles on the topic 'Nonlinear dynamic objects'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Krykun, Valentyn. "Improving the Accuracy of the Neural Network Models Interpretation of Nonlinear Dynamic Objects." Mathematical and computer modelling. Series: Technical sciences 24 (December 5, 2023): 45–55. http://dx.doi.org/10.32626/2308-5916.2023-24.45-55.

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The paper is devoted to the problem of neural network interpretation in the tasks of modeling nonlinear dynamic objects. The purpose of the work is to improve the accuracy of the neural network models interpretation of nonlinear dynamic objects and to determine the scope of their effective application. This goal is achieved by applying analytical models in the form of integral-power series based on multidimensional weight functions. The scientific novelty of the work lies in the use of nonlinear dynamic models in the form of integral-power series based on multidimensional weight functions inst

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Stakhiv, Petro, Bohdan Melnyk, Oksana Hoholyuk, and Stepan Trokhanyak. "Application of parallel computing technology for modelling complex dynamic objects." Computational Problems of Electrical Engineering 14, no. 1 (2024): 30–35. https://doi.org/10.23939/jcpee2024.01.030.

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The paper is devoted to the development of approaches to the application of parallel algorithms in modelling complex dynamic objects. An overview of the existing principles of computer modelling based on parallel computing procedures is given. It is proposed to describe complex dynamic objects in the form of macromodels. An algorithm for parallelising computations when constructing a nonlinear macromodel of a dynamic object with a separate linear part is described. An iterative algorithm for constructing a macromodel that describes heterogeneous dynamic characteristics of an object is formulat

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Siddikov, Isamiddin, and Komil Usmanov. "SYNERGETIC SYNTHESIS OF MULTIVARIATE NONLINEAR DYNAMIC OBJECTS." Chemical Technology, Control and Management 2023, no. 2 (2023): 57–63. http://dx.doi.org/10.59048/2181-1105.1428.

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Oleksandr, Blintsov, Burunina Zhanna, and Voitasyk Andrii. "IMPROVEMENT OF THE INVERSE DYNAMICS METHOD FOR HIGH-PRECISION CONTROL OF NONLINEAR OBJECTS UNDER CONDITIONS OF UNCERTAINTY." Eastern-European Journal of Enterprise Technologies 2, no. 2 (98) (2019): 55–62. https://doi.org/10.15587/1729-4061.2019.160345.

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Synthesis of automatic control systems (ACS) of nonlinear objects is a well-known scientific problem. The method of inverse dynamics makes it possible to synthesize high-precision ACSs of nonlinear objects. However, under conditions of uncertainty, control quality is significantly compromised and ACS does not fulfill the set task. The result of present research is the further elaborated method of inverse dynamics for the synthesis of high-precision ACS of nonlinear objects under conditions of uncertainty. We have synthesized a generalized structure of the inverse control law as a basis for con

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Zhu, Yuan, Hao An, Huaide Wang, Ruidong Xu, Zhipeng Sun, and Ke Lu. "DOT-SLAM: A Stereo Visual Simultaneous Localization and Mapping (SLAM) System with Dynamic Object Tracking Based on Graph Optimization." Sensors 24, no. 14 (2024): 4676. http://dx.doi.org/10.3390/s24144676.

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Most visual simultaneous localization and mapping (SLAM) systems are based on the assumption of a static environment in autonomous vehicles. However, when dynamic objects, particularly vehicles, occupy a large portion of the image, the localization accuracy of the system decreases significantly. To mitigate this challenge, this paper unveils DOT-SLAM, a novel stereo visual SLAM system that integrates dynamic object tracking through graph optimization. By integrating dynamic object pose estimation into the SLAM system, the system can effectively utilize both foreground and background points for

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Xakimovich, Siddikov Isamiddin, and Umurzakova Dilnoza Maxamadjonovna. "Fuzzy-logical Control Models of Nonlinear Dynamic Objects." Advances in Science, Technology and Engineering Systems Journal 5, no. 4 (2020): 419–23. http://dx.doi.org/10.25046/aj050449.

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Fomin, O. O., O. D. Ruban, and O. V. Rudkovskyi. "Method for Construction the Diagnostic Features Space of Switched Reluctance Motors Based on Integral Dynamic Models." Problemele energeticii regionale 4, no. 48 (2020): 35–44. https://doi.org/10.5281/zenodo.4316968.

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The work is devoted to the problem of construction the diagnostic models for the nonlinear dynamic objects. The aim of the work is to improve the reliability and fast operation in diagnosis of the states of electrical motors of under conditions of an a priori uncertainty. The a priori uncertainty results from an insufficient study of the processes, which occur in the objects of diagnosis due to the operation in a wide range of external conditions and the presence of a great amount of disturbing effects along with environmental interferences. This aim is achieved by the development of the techn

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Fomin, Oleksandr O., and Andrii A. Orlov. "Modeling nonlinear dynamic objects using pre-trained time delay neural networks." Applied Aspects of Information Technology 7, no. 1 (2024): 24–33. http://dx.doi.org/10.15276/aait.07.2024.2.

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The work is devoted to resolving the contradiction between the accuracy of modelling nonlinear dynamics and the speed of model construction under conditions of limited computing resources. The purposeof the work is to reduce the time for building time delay neural networks while ensuring a given accuracy in the tasks of identifying nonlinear dynamic objects with continuous characteristics. This goal is achieved by developing a method for pre-training neural networks that reflect the basic characteristics of the subject area. The scientific novelty of the work is the development of a method for

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9

Siddikov, I. "Synthesis of Robust Nonlinear Control Law Unsteady Dynamic Objects." Advanced Science Journal 2015, no. 3 (2015): 115–18. http://dx.doi.org/10.15550/asj.2015.03.115.

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Mandel, Nicolas, Nils Kompe, Moritz Gerwin, and Floris Ernst. "KISS—Keep It Static SLAMMOT—The Cost of Integrating Moving Object Tracking into an EKF-SLAM Algorithm." Sensors 24, no. 17 (2024): 5764. http://dx.doi.org/10.3390/s24175764.

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The treatment of moving objects in simultaneous localization and mapping (SLAM) is a key challenge in contemporary robotics. In this paper, we propose an extension of the EKF-SLAM algorithm that incorporates moving objects into the estimation process, which we term KISS. We have extended the robotic vision toolbox to analyze the influence of moving objects in simulations. Two linear and one nonlinear motion models are used to represent the moving objects. The observation model remains the same for all objects. The proposed model is evaluated against an implementation of the state-of-the-art fo

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Fomin, Oleksandr O., Viktor O. Speranskyy, Andrii A. Orlov, Oleksii V. Tataryn, and Denys V. Kushchevyi. "Method of reference models for synthesis of intellectual systems of nonlinear dynamic objects identification." Herald of Advanced Information Technology 7, no. 3 (2024): 262–74. http://dx.doi.org/10.15276/hait.07.2024.18.

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The paper is devoted to resolving the contradiction between the accuracy of modeling nonlinear dynamic objects and the speed of models building under conditions of limited computing resources. The purpose of the work is to reduce the time for building models of nonlinear dynamic objects with continuous characteristics while ensuring a given modeling accuracy. This goal is achieved by further developing the method of synthesing intelligent systems based on the superposition of pre-trained reference models in the form of neural networks reflecting the basic properties of the object. The scientif

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Annaswamy, A. M., and D. Seto. "Object Manipulation Using Compliant Fingerpads: Modeling and Control." Journal of Dynamic Systems, Measurement, and Control 115, no. 4 (1993): 638–48. http://dx.doi.org/10.1115/1.2899191.

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Current industrial robots are often required to perform tasks requiring mechanical interactions with their environment. For tasks that require grasping and manipulation of unknown objects, it is crucial for the robot end-effector to be compliant to increase grasp stability and manipulability. The dynamic interactions that occur between such compliant end-effectors and deformable objects that are being manipulated can be described by a class of nonlinear systems. In this paper, we determine algorithms for grasping and manipulation of these objects by using adaptive feedback techniques. Methods

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Ulyanov, S. V., K. Yamafuji, V. S. Ulyanov, I. Kurawaki, T. Hagiwara, and S. A. Panfilov. "Computational Intelligence for Robust Control Algorithms of Complex Dynamic Systems with Minimum Entropy Production." Journal of Advanced Computational Intelligence and Intelligent Informatics 3, no. 2 (1999): 82–98. http://dx.doi.org/10.20965/jaciii.1999.p0082.

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Our thermodynamic approach to the study and design of robust optimal control processes in nonlinear (in general global unstable) dynamic systems used soft computing based on genetic algorithms with a fitness function as minimum entropy production. Control objects were nonlinear dynamic systems involving essentially nonlinear stochastic differential equations. An algorithm was developed for calculating entropy production rate in control object motion and in control systems. Part 1 discusses relation of the Lyapunov function (measure of stability) and the entropy production rate (physical measur

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Kozyrev, V. G. "Synthesis of the Additive Terminal Control of Uniaxial Motion of Nonlinear Objects." Mekhatronika, Avtomatizatsiya, Upravlenie 21, no. 7 (2020): 394–403. http://dx.doi.org/10.17587/mau.21.394-403.

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A method for synthesizing the laws of terminal control of uniaxial movement of nonlinear dynamic objects is proposed. The problem is solved for the case when the control action is included in the scalar additive component of the nonlinear equations of the object. Target control laws meet the requirement to transfer an object from an arbitrary initial state toa specified final position with a specified final speed. The other parameters of the object’s state at the end time are generally not controlled. When assigning a zero final speed, the object’s "soft" transition to the specified position i

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Labutin, A. N., A. A. Andreenkov, and E. A. Shuina. "Synergetic synthesis of control algorithms for extreme objects." Vestnik IGEU, no. 3 (June 30, 2025): 86–92. https://doi.org/10.17588/2072-2672.2025.3.086-092.

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Due to the absence or limited information about the dynamics of the object, the problem of synthesizing control algorithms of nonlinear technological objects, such as a chemical reactor occurs. At the same time, the static characteristic of the object in the control channel is given and has an extreme nature. Information about the form of the static characteristic and the structure of substance transfer flows in the reactor makes it possible to develop a simplified model that reflects the nonlinearity and inertia of the object. Thus, it is necessary to develop methods of synthesizing a control

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Samborskyi, Ivan, Ievgen Samborskyi, Vladyslav Hol, Yevhen Peleshok, and Serhii Sholokhov. "Synthesis of the model of management of complex dynamic objects taking into account the events of their security." Collection "Information Technology and Security" 12, no. 1 (2024): 4–16. http://dx.doi.org/10.20535/2411-1031.2024.12.1.306254.

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The rapid development of complex, decentralized, non-linear technical structures - robotic means urgently requires the creation of an optimal algorithmic support for an automatic situational control system of such dynamic objects, taking into account the possibility of increasing the safety of their operation. This will be a guarantee, and as a result, a significant increase in the efficiency and quality of the tasks assigned by the specified technical structures. For the practical implementation of this task, it is advisable to comprehensively consider the nonlinear model of the processes of

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Fomin, Oleksandr, Viktor Speranskyy, Andrii Orlov, Oleksii Tataryn, and Vitaly Kanevskyy. "Method of Reference Models for Synthesis of Intelligent Systems for Identification of Nonlinear Dynamic Objects." Mathematical and computer modelling. Series: Technical sciences 25 (September 30, 2024): 129–39. http://dx.doi.org/10.32626/2308-5916.2024-25.129-139.

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The paper is devoted to resolving the contradiction between the accuracy of modeling nonlinear dynamics and the speed of model construction under conditions of limited computing resources. The aim of the work is to reduce the time for building models of nonlinear dynamic objects with continuous characteristics in the form of neural networks while ensuring a given modeling accuracy. This goal is achieved by developing a new method for synthesizing intelligent systems based on the superposition of pre-trained (support) models in the form of neural networks that reflect the basic properties of th

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18

Bazzi, Salah, Stephan Stansfield, Neville Hogan, and Dagmar Sternad. "Simplified internal models in human control of complex objects." PLOS Computational Biology 20, no. 11 (2024): e1012599. http://dx.doi.org/10.1371/journal.pcbi.1012599.

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Humans are skillful at manipulating objects that possess nonlinear underactuated dynamics, such as clothes or containers filled with liquids. Several studies suggested that humans implement a predictive model-based strategy to control such objects. However, these studies only considered unconstrained reaching without any object involved or, at most, linear mass-spring systems with relatively simple dynamics. It is not clear what internal model humans develop of more complex objects, and what level of granularity is represented. To answer these questions, this study examined a task where partic

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Tabata, Kenta, Renato Miyagusuku, and Hiroaki Seki. "Motion Planning for Dynamic Three-Dimensional Manipulation for Unknown Flexible Linear Object." Journal of Robotics and Mechatronics 36, no. 4 (2024): 950–60. http://dx.doi.org/10.20965/jrm.2024.p0950.

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Generally, deformable objects have large and nonlinear deformations. Because of these characteristics, recognition and estimation of their movement are difficult. Many studies have been conducted aimed at manipulating deformable objects at will. However, they have been focused on situations wherein a rope’s properties are already known from prior experiments. In our previous work, we proposed a motion planning algorithm to manipulate unknown ropes using a robot arm. Our approach considered three steps: motion generation, manipulation, and parameter estimation. By repeating these three steps, a

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Lee, Kok-Meng, and Yifei Qian. "Intelligent Vision-Based Part-Feeding on Dynamic Pursuit of Moving Objects." Journal of Manufacturing Science and Engineering 120, no. 3 (1998): 640–47. http://dx.doi.org/10.1115/1.2830169.

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The paper addresses the problem of picking up moving objects from a vibratory feeder with robotic hand-eye coordination. Since the dynamics of moving targets on the vibratory feeder are highly nonlinear and often impractical to model accurately, the problem has been formulated in the context of Prey Capture with the robot as a “pursuer” and a moving object as a passive “prey”. A vision-based intelligent controller has been developed and implemented in the Factory-of-the-Future Kitting Cell at Georgia Tech. The controller consists of two parts: The first part, based on the principle of fuzzy lo

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Ohrimenko, Olga I., Igor M. Maltsev, Violetta V. Rokotyanskaya, and Maria L. Vilisova. "The theory of nonlinear systems as an instrument for solving engineering problems." MATEC Web of Conferences 226 (2018): 04040. http://dx.doi.org/10.1051/matecconf/201822604040.

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The article outlines theoretical, methodological and practical issues of modern control and optimization theory, as well as the problems of nonlinear systems theory. Theoretical conclusions and results allowed to build mathematical models applicable to the management of objects of different nature with different principles of action, in particular, to the management of complex technical and technological objects that can be considered as nonlinear dynamic systems. The authors find it appropriate to consider nonlinear dynamic integral models as Volterra integro-power series from many functional

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Kifayat Mammadova, Aytan Aliyeva, Kifayat Mammadova, Aytan Aliyeva. "INTELLIGENT CONTROL SYSTEM OF MULTI-MOTION MOBILE ROBOT." Caucasus-Economic and Social Analysis Journal of Southern Caucasus 58, no. 01 (2024): 78–90. http://dx.doi.org/10.36962/cesajsc5801024-78.

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Technical devices with irregular motion are described by complex non-linear differential equations, as they have an uncertain environment. Due to interactions and simplifications in these types of control objects, their mathematical models may have certain errors. For this reason, by known methods, for example, the linear matrix inequality method, Lyapunov's quadratic function, etc. The synthesized automatic control systems (ACS) for dynamic objects written by nonlinear mathematical models based on the quadratic matrix determined by The synthesis of regulators for the management of dynamic obj

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Wang, Xuechun, and Vladimir L. Eliseev. "Methodology to improve the quality of neural network modeling of dynamic objects." Proceedings of Tomsk State University of Control Systems and Radioelectronics 27, no. 3 (2024): 92–99. https://doi.org/10.21293/1818-0442-2024-27-3-92-99.

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The problem of neural network modeling of nonlinear dynamic objects using recurrent neural networks is considered. An approach to improve the accuracy of modeling using a static neural network of the «multilayer perceptron» type, that processes correlation dependencies of a dynamic process and approximates the modeling error, is proposed. A technique for synthesis and application of the correlation neural network model CCF-MLP improving the quality of modeling of a conventional recurrent neural network, is formulated. Simulation experiments are carried out with a neural network recurrent netwo

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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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Ali, Wasiq, Wasim Ullah Khan, Muhammad Asif Zahoor Raja, Yigang He, and Yaan Li. "Design of Nonlinear Autoregressive Exogenous Model Based Intelligence Computing for Efficient State Estimation of Underwater Passive Target." Entropy 23, no. 5 (2021): 550. http://dx.doi.org/10.3390/e23050550.

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In this study, an intelligent computing paradigm built on a nonlinear autoregressive exogenous (NARX) feedback neural network model with the strength of deep learning is presented for accurate state estimation of an underwater passive target. In underwater scenarios, real-time motion parameters of passive objects are usually extracted with nonlinear filtering techniques. In filtering algorithms, nonlinear passive measurements are associated with linear kinetics of the target, governing by state space methodology. To improve tracking accuracy, effective feature estimation and minimizing positio

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Tugashova, L. G., and K. L. Gorshkova. "CONTROL OF OBJECTS OF OIL REFINING MODEL." Oil and Gas Studies, no. 2 (May 1, 2017): 78–82. http://dx.doi.org/10.31660/0445-0108-2017-2-78-82.

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The approaches to improve the management of processes of oil refining. The description of the control model and the adjustment of the coefficients of the controller by using genetic algorithm. Selected basic adjustable parameters and control actions. The main components of the control circuit for the models are: limitations of the regression model, nonlinear dynamic model, the unit of optimization.

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Park, Chanhong, Alex Ramirez-Serrano, and Mahdis Bisheban. "Adaptive Incremental Nonlinear Dynamic Inversion Control for Aerial Manipulators." Aerospace 11, no. 8 (2024): 671. http://dx.doi.org/10.3390/aerospace11080671.

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This paper proposes an adaptive incremental nonlinear dynamic inversion (INDI) controller for unmanned aerial manipulators (UAMs). A novel adaptive law is employed to enable aerial manipulators to manage the inertia parameter changes that occur when the manipulator moves or picks up unknown objects during any phase of the UAM’s flight maneuver. The adaptive law utilizes a Kalman filter to estimate a set of weighting factors employed to adjust the control gain matrix of a previously developed INDI control law formulated for the corresponding UAV (no manipulator included). The proposed adaptive

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Orlov, A. A. "Use of pre-trained neural networks for modeling nonlinear dynamic objects." Informatics and mathematical methods in simulation 13, no. 3-4 (2023): 195–203. http://dx.doi.org/10.15276/imms.v13.no3-4.195.

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Yin, Dong Mei, and Zhen Xiao Li. "Foreign Objects Damage on the Leading Edge of the Blade with Centrifugal Preload." Applied Mechanics and Materials 148-149 (December 2011): 958–62. http://dx.doi.org/10.4028/www.scientific.net/amm.148-149.958.

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The influence of centrifugal prestress on the foreign object damage of engine blades was analyzed by numerical simulation. A nonlinear dynamic model for foreign object damage of blade with centrifugal prestress was established. And the dynamic relaxation method was used to obtain the initial stress and displacement field of blade in the beginning of the dynamic analysis of impact. Numerical simulations of foreign objects impacting on the leading edges of the blades under different centrifugal preloads were carried out. The results indicate that the local plastic deformation on the impact locat

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Romanova, A. V., I. A. Kosternoi, and Y. V. Rozhdestvensky. "Spatial Confinement of Microobjects in the Radiofrequency Ion Trap in a Viscous Medium-=SUP=-*-=/SUP=-." Журнал технической физики 128, no. 8 (2020): 1202. http://dx.doi.org/10.21883/os.2020.08.49733.1004-20.

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In the present article a spatial confinement of microobjects were explored in the radiofrequency Paul trap at normal pressure. Spores of Lycopodium Clavatum, 33 μm in diameter, and CdSe/ZnS (core/shell) quantum dots conglomerates with size of 2-7 μm were used as such microobjects. Zero-crossing orbits of these objects were observed for the first time what indicates the nonlinear nature of dynamics of these particles in localization area. Mathematical descriptions of particle dynamics in a viscous is presented. It is shown that friction value depends on the radius of microobjects and dynamic vi

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Hogan, Neville. "Impedance Control: An Approach to Manipulation: Part I—Theory." Journal of Dynamic Systems, Measurement, and Control 107, no. 1 (1985): 1–7. http://dx.doi.org/10.1115/1.3140702.

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Manipulation fundamentally requires the manipulator to be mechanically coupled to the object being manipulated; the manipulator may not be treated as an isolated system. This three-part paper presents an approach to the control of dynamic interaction between a manipulator and its environment. In Part I this approach is developed by considering the mechanics of interaction between physical systems. Control of position or force alone is inadequate; control of dynamic behavior is also required. It is shown that as manipulation is a fundamentally nonlinear problem, the distinction between impedanc

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Lisowski, Józef Andrzej. "Maximum Principle in Autonomous Multi-Object Safe Trajectory Optimization." Electronics 13, no. 6 (2024): 1144. http://dx.doi.org/10.3390/electronics13061144.

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The following article presents the task of optimizing the control of an autonomous object within a group of other passing objects using Pontryagin’s bounded maximum principle. The basis of this principle is a multidimensional nonlinear model of the control process, with state constraints reflecting the motion of passing objects. The analytical synthesis of optimal multi-object control became the basis for the algorithm for determining the optimal and safe object trajectory. Simulation tests of the algorithm on the example of real navigation situations with various numbers of objects illustrate

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Piatkowski, Tomasz, Janusz Sempruch, and Tomasz Tomaszewski. "DYNAMICS OF A SORTING PROCESS WITH A STREAM OF DISCRETE IMPACT LOADS." Transactions of the Canadian Society for Mechanical Engineering 38, no. 1 (2014): 139–54. http://dx.doi.org/10.1139/tcsme-2014-0009.

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The sorting process applied to a stream of unit loads (cubiform objects, parcels) transported on conveyors is investigated. The sorting process is performed by means of an active fence (flexible arm) that makes a 1dof rotary motion. The manipulated loads are treated as bodies with nonlinear elastic-damping properties described by modified nonlinear Kelvin model. The equations of motion of the flexible fence, and those of the interacting object, are derived using the finite element method. The assessment of influence of constructional and operating parameters of the fence on the course of the s

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Akbarimajd, Adel. "Optimal motion planning of juggling by 3-DOF manipulators using adaptive PSO algorithm." Robotica 32, no. 6 (2013): 967–84. http://dx.doi.org/10.1017/s026357471300115x.

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SUMMARYThree-DOF manipulators were employed for juggling of polygonal objects in order to have full control over object's configuration. Dynamic grasp condition is obtained for the instances that the manipulators carry the object on their palms. Manipulation problem is modeled as a nonlinear optimal control problem. In this optimal control problem, time of free flight is used as a free parameter to determine throw and catch times. Cost function is selected to get maximum covered horizontal distance using minimum energy. By selecting third-order polynomials for joint motions, the problem is cha

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Viktor, Bazhenov, and Vabischevich Maksim. "RESEARCH OF NONLINEAR DYNAMIC DEFORMATION OF SPATIAL BODIES WITH CRACKS." TECHNOLOGY AUDIT AND PRODUCTION RESERVES 2, no. 1(52) (2020): 16–18. https://doi.org/10.15587/2312-8372.2020.200550.

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<em>The object of research is the process of dynamic interaction of a complex system of cyclically symmetric parts of the support joint, taking into account the presence of stationary cracks. A significant number of structural elements and parts operated under dynamic loads are characterized by the occurrence and propagation of cracks in areas of significant plastic deformation. In particular, for the supporting device, it is a cyclically symmetric body with a limiting case of heterogeneity, under the action of pulsed loads, plastic flow zones arise at the boundaries of the joints of the cylin

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Dandekar, Rahul, and P. L. Krapivsky. "Dynamic space packing." Journal of Statistical Mechanics: Theory and Experiment 2023, no. 10 (2023): 103403. http://dx.doi.org/10.1088/1742-5468/ad0223.

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Abstract Dynamic space packing (DSP) is a random process with sequential addition and removal of identical objects into space. In the lattice version, objects are particles occupying single lattice sites, and adding a particle to a lattice site leads to the removal of particles on neighboring sites. We show that the model is solvable and determine the steady-state occupancy, correlation functions, desorption probabilities, and other statistical features for the DSP of hyper-cubic lattices. We also solve a continuous DSP of balls into R d .

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Zhosan, Anatoliy, Ivan Marynych, and Olga Serdiuk. "Algorithm for the synthesis of dual non-parametric control of "black box" type dynamic object with use state matrix diagonalization method." RADIOELECTRONIC AND COMPUTER SYSTEMS, no. 2 (May 18, 2022): 24–34. http://dx.doi.org/10.32620/reks.2022.2.02.

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The subject of the article is a variant of an efficient algorithm for synthesizing a dual discrete model and controller for tracking a given trajectory of a dynamic nonlinear, nonstationary black box object, using standard procedures for diagonalizing the state matrix, which makes it possible to simplify obtaining control values in numerical form and reduce the number of calculations. The current article presents one the possible solutions to the problem of regulator synthesis to ensure stable development of a given trajectory of motion of a nonlinear, non-stationary object of "black box" type

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Gong, Chun-Lin, Zhe Fang, and Gang Chen. "Numerical investigation of nonlinear fluid–structure interaction dynamic behaviors under a general Immersed Boundary-Lattice Boltzmann-Finite Element method." International Journal of Modern Physics C 29, no. 04 (2018): 1850038. http://dx.doi.org/10.1142/s0129183118500389.

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A numerical approach based on the immersed boundary (IB), lattice Boltzmann and nonlinear finite element method (FEM) is proposed to simulate hydrodynamic interactions of very flexible objects. In the present simulation framework, the motion of fluid is obtained by solving the discrete lattice Boltzmann equations on Eulerian grid, the behaviors of flexible objects are calculated through nonlinear dynamic finite element method, and the interactive forces between them are implicitly obtained using velocity correction IB method which satisfies the no-slip conditions well at the boundary points. T

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Grishina, Svetlana. "Formalization of the Process of Research of Nonlinear Dynamic Control Systems with an Economic Object." Scientific Research and Development. Economics 9, no. 6 (2022): 39–43. http://dx.doi.org/10.12737/2587-9111-2021-9-6-39-43.

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The article continues research on the adaptation of well-developed methods of systems theory to economic systems. It is shown that economic objects, as a rule, are nonlinear. The issues of analysis and evaluation of the accuracy of nonlinear economic systems are considered. It is shown that the use for these purposes of statistical methods based on the statistical approximation of a nonlinear transformation causes difficulties associated with the requirement of a normal distribution law at the output of a nonlinear element, as well as with a limited ability to assess the magnitude and range of

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Yakubov, Maksadkhan, and Gulchekhra Jamalova. "Methods for adaptive control of objects with variable parameters." E3S Web of Conferences 264 (2021): 01049. http://dx.doi.org/10.1051/e3sconf/202126401049.

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The work uses the method of standard characteristic polynomials, based on the Lyapunov theorem on adaptive control systems, the theory of flexible and robust control, methods of the theory of nonlinear systems. When modeling an internal combustion engine, methods of identification theory were additionally involved. When obtaining theoretical results, the method of Lyapunov functions, the method of standard characteristic polynomials, methods of the theory of adaptive and robust control, methods of the theory of nonlinear systems were used. When constructing a model of an internal combustion en

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Khapkin, D. L., and S. V. Feofilov. "The Method of Synthesis of a Stable Closed-Loop Object Control System with Limiters." Mekhatronika, Avtomatizatsiya, Upravlenie 25, no. 7 (2024): 345–53. http://dx.doi.org/10.17587/mau.25.345-353.

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The modern theory of automatic control is faced with the problem of complexity of synthesis of regulators for nonlinear control objects in conditions of incomplete information. The existing methods and approaches can no longer satisfy the needs of developers of automatic control systems for complex dynamic objects. In many cases, control objects are essentially nonlinear, nonstationary and require the use of digital control with specified quality indicators. In this case, obtaining an accurate mathematical model is not always possible. We propose an approach to solving this problem using regul

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Garmash, Vitaliy, Yuriy Petrov, Andrey Andreev, and Anatoly Zaitsev. "Adaptive Matching of the Radar Signal and Image Display Device Dynamic Ranges." International Journal of Mathematical, Engineering and Management Sciences 4, no. 6 (2019): 1448–58. http://dx.doi.org/10.33889/ijmems.2019.4.6-114.

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This article presents nonlinear radar signal processing method to form an image of the Earth's surface. The method proposes to match the dynamic ranges of the received signal and of the visualization device. The essence of the method is adaptive nonlinear signal processing, which provides better local contrast of radar images and improves discrimination of individual objects. The computational complexity of the proposed algorithm is optimized and allows real-time implementation in the airborne computing systems with limited computational power. Objects with large RCS merged into large illumina

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Guo, San-dang, Sifeng Liu, Zhigeng Fang, and Lingling Wang. "Multi-phase information aggregation and dynamic synthetic evaluation based on grey inspiriting control lines." Grey Systems: Theory and Application 4, no. 2 (2014): 154–63. http://dx.doi.org/10.1108/gs-08-2013-0017.

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Purpose – The purpose of this paper is to put forward a multi-stage information aggregation method based on grey inspiriting control lines to evaluate the objects dynamically and comprehensively. Design/methodology/approach – According to the evaluation value of the objects, the positive and negative incentive lines were set up and the predicted values were solved based on the grey GM(1, 1) model, so the value with expected information could be evaluated. In the evaluation, the part above the positive incentive line should be “rewarded” and that below the negative incentive line should be “pun

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V.M., Buyankin. "WORKING OUT NEYROREGULATORS FOR MULTIPLANIMETRIC SYSTEMS OF ARTIFICIAL INTELLIGENCE." ИННОВАЦИОННЫЕ НАУЧНЫЕ ИССЛЕДОВАНИЯ 2022. 12-3(24) (December 29, 2022): 5–20. https://doi.org/10.5281/zenodo.7491604.

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In article designing of regulators for multiplanimetric systems of artificial intelligence which can be designed on the basis of neural networks is considered. Neural networks are directly trained nonlinear static and to dynamic characteristics, providing demanded accuracy and quality of work of various technical objects, in particular electric drives. On the basis of designed neyroregulators the system of artificial intelligence is developed for improvement static and dynamic characteristics of work of the electric drive with podchinenno-neural management.

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Kucherenko, P. A., S. V. Sokolov, and S. M. Kovalev. "Solving the problem of structural stochastic identification of nonlinear discrete dynamic multistructural objects." Automatic Control and Computer Sciences 47, no. 6 (2013): 310–17. http://dx.doi.org/10.3103/s0146411613060084.

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Ivaniuk, Vitalii, Anatolii Verlan, Volodymyr Fedorchuk, and Vadym Ponedilok. "Vector-Matrix Implementation of the Integrated Method of Recovery of Input Signals of Nonlinear Dynamic Systems." Modeling, Control and Information Technologies, no. 4 (October 23, 2020): 75–78. http://dx.doi.org/10.31713/mcit.2020.13.

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In the article the method of signal reconstruction at the input of nonlinear dynamic objects based on the application of vector-matrix approach to solving polynomial Volterra integral equations of the first kind of the second degree using a differential regularization operator is studied.

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N, Lazarieva. "Neural Network Implementation of Hierarchical Fuzzy Model of Dynamic Objects Speed Control." Artificial Intelligence 30, AI.2025.30(2) (2025): 105–15. https://doi.org/10.15407/jai2025.02.105.

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The aim is to create an intelligent control system based on soft computing for controlling dynamic objects moving along one of the defined routes in real-time systems. The parameters of objects in the real environment are characterized by high nonlinearity, dependence on the state of the environment, and time-varying dynamics when some parameters and states of objects are not available for measurement. Taking this into account, the hierarchical structure of the system is developed based on the classical fuzzy algorithms of Mamdani and Takagi-Sugeno-Kang, and an adaptive fuzzy neural network th

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Park, JaeHwei, JaeMu Yun, and JangMyung Lee. "Trajectory estimation of a moving object using Kalman filter and Kohonen networks." Robotica 25, no. 5 (2007): 567–74. http://dx.doi.org/10.1017/s0263574707003451.

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SUMMARYA novel approach to estimate the real-time moving trajectory of an object is proposed in this paper. The object's position is obtained from the image data of a charge coupled device (CCD) camera, while a state estimator predicts the linear and angular velocities of the moving object. To overcome the uncertainties and noises residing in the input data, a Kalman filter and neural networks are utilized cooperatively. Since the Kalman filter needs to approximate a nonlinear system into a linear model in order to estimate the states, there still exist errors as well as uncertainties. To reso

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Fomin, Oleksandr, Vitaly Kanevskyy, Dmytro Melnyk, and Andrii Burbenko. "Optimization of Neural Network Architecture with Regard to Data Augmentation." Mathematical and computer modelling. Series: Technical sciences 26 (December 26, 2024): 54–63. https://doi.org/10.32626/2308-5916.2024-26.54-63.

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The paper is devoted to resolving the contradiction between increasing the model's resistance to interference and distortion and complicating the task of model training under conditions of limited computational resources. The aim of the work is to determine the architecture of nonlinear dynamics models under conditions of limited training data while ensuring a given modeling accuracy. This goal is achieved by developing a method for selecting the architecture of NAS neural networks. The scientific novelty of the work lies in the further development of the method of selecting the architecture o

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Sukhinin, B. V., та V. V. Surkov. "Analytical Construction Robust Optimal Control Systems by the Criterion of Quick Action with Inﬁnitely High Gain". Mekhatronika, Avtomatizatsiya, Upravlenie 21, № 8 (2020): 453–63. http://dx.doi.org/10.17587/mau.21.453-463.

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The problem of the synthesis of robust control systems with a high gain and, in particular, optimal by the criterion of quick action, which allow optimal control by the accuracy of regulation of multidimensional non-linear dynamic objects with functional uncertainties, is discussed. A method is proposed for the analytical construction of optimal control systems by the criterion of quick action for a wide class of multidimensional nonlinear dynamic objects with functional uncertainties, unstable objects; no minimal-phase objects, neutral object and objects with differentiation properties. Simpl

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