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Relevant bibliographies by topics / Real equivalent formulation for complex linear systems

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Academic literature on the topic 'Real equivalent formulation for complex linear systems'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 February 2022

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Journal articles on the topic "Real equivalent formulation for complex linear systems"

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Day, David, and Michael A. Heroux. "Solving Complex-Valued Linear Systems via Equivalent Real Formulations." SIAM Journal on Scientific Computing 23, no. 2 (2001): 480–98. http://dx.doi.org/10.1137/s1064827500372262.

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Sima, Fernando, Pere Roca, and Climent Molins. "Non Linear Response of Masonry Wall Structures Subjected to Cyclic and Dynamic Loading." Advanced Materials Research 133-134 (October 2010): 747–52. http://dx.doi.org/10.4028/www.scientific.net/amr.133-134.747.

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A method for non-linear dynamic analysis of wall masonry structures is presented. The method takes advantage of a Generalized Matrix Formulation (GMF) for the serviceability and ultimate analysis of structures composed of arches and/or masonry walls, in which open and solid walls are described as equivalent frame systems. This formulation has been complemented with a cyclic constitutive model and an algorithm for the integration of the equation of motion, resulting in a numerically efficient method for non-linear analysis in time domain of complex masonry systems.

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Liu, Zhi, and Rongwei Guo. "Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control." Complexity 2020 (May 30, 2020): 1–10. http://dx.doi.org/10.1155/2020/4938149.

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The stabilization problem of the complex chaotic system is investigated in this paper. First, a systematic method is proposed, by which a given complex chaotic system can be transformed into its equivalent real chaotic system. Then, both simple and physical controller is designed for the corresponding real chaotic system by the dynamic feedback control method, thereby the controller for the original complex chaotic system is obtained. Especially, for some complex system, the controller is obtained by the linear feedback control method. Finally, two illustrative examples with numerical simulati

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Miller, U., S. Bograd, A. Schmidt, and L. Gaul. "Eigenpath Following for Systems with Symmetric Complex-Valued Stiffness Matrices." Shock and Vibration 17, no. 4-5 (2010): 397–405. http://dx.doi.org/10.1155/2010/849840.

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A vibration analysis of a structure with joints is performed. The simulation is conducted with finite element software capable of performing a numeric modal analysis with hysteretic damping assumption. The joints are modeled with thin layer elements, representing dissipation and stiffness of the joints. The matrices describing the system consist of the mass, as well as real and complex-valued stiffness matrices. If the eigenvalues of this system are found in one step, due to the mode crossing occurring for the closely spaced modes, it is difficult and time consuming to assign calculated modal

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Thompson, David F. "A Simplified Robust Circle Criterion Using the Sensitivity-Based Quantitative Feedback Theory Formulation." Journal of Dynamic Systems, Measurement, and Control 121, no. 3 (1999): 543–47. http://dx.doi.org/10.1115/1.2802510.

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The circle criterion provides a sufficient condition for global asymptotic stability for a specific class of nonlinear systems, those consisting of the feedback interconnection of a single-input, single-output linear dynamic system and a static, sector-hounded nonlinearity. Previous authors (Wang et al, 1990) have noted the similarity between the graphical circle criterion and design bounds in the complex plane stemming from the Quantitative Feedback Theory (QFT) design methodology. The QFT formulation has specific advantages from the standpoint of controller synthesis. However, the aforementi

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Moretti, Valter, and Marco Oppio. "Quantum theory in real Hilbert space: How the complex Hilbert space structure emerges from Poincaré symmetry." Reviews in Mathematical Physics 29, no. 06 (2017): 1750021. http://dx.doi.org/10.1142/s0129055x17500210.

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As earlier conjectured by several authors and much later established by Solèr (relying on partial results by Piron, Maeda–Maeda and other authors), from the lattice theory point of view, Quantum Mechanics may be formulated in real, complex or quaternionic Hilbert spaces only. Stückelberg provided some physical, but not mathematically rigorous, reasons for ruling out the real Hilbert space formulation, assuming that any formulation should encompass a statement of Heisenberg principle. Focusing on this issue from another — in our opinion, deeper — viewpoint, we argue that there is a general fund

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Ling, Qiang, and Haojiang Deng. "A New Proof to the Necessity of a Second Moment Stability Condition of Discrete-Time Markov Jump Linear Systems with Real States." Journal of Applied Mathematics 2012 (2012): 1–10. http://dx.doi.org/10.1155/2012/642480.

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This paper studies the second moment stability of a discrete-time jump linear system with real states and the system matrix switching in a Markovian fashion. A sufficient stability condition was proposed by Fang and Loparo (2002), which only needs to check the eigenvalues of a deterministic matrix and is much more computationally efficient than other equivalent conditions. The proof to the necessity of that condition, however, is a challenging problem. In the paper by Costa and Fragoso (2004), a proof was given by extending the state domain to the complex space. This paper proposes an alternat

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Chanthorn, Pharunyou, Grienggrai Rajchakit, Jenjira Thipcha, et al. "Robust Stability of Complex-Valued Stochastic Neural Networks with Time-Varying Delays and Parameter Uncertainties." Mathematics 8, no. 5 (2020): 742. http://dx.doi.org/10.3390/math8050742.

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In practical applications, stochastic effects are normally viewed as the major sources that lead to the system’s unwilling behaviours when modelling real neural systems. As such, the research on network models with stochastic effects is significant. In view of this, in this paper, we analyse the issue of robust stability for a class of uncertain complex-valued stochastic neural networks (UCVSNNs) with time-varying delays. Based on the real-imaginary separate-type activation function, the original UCVSNN model is analysed using an equivalent representation consisting of two real-valued neural n

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Moretti, Valter, and Marco Oppio. "Quantum theory in quaternionic Hilbert space: How Poincaré symmetry reduces the theory to the standard complex one." Reviews in Mathematical Physics 31, no. 04 (2019): 1950013. http://dx.doi.org/10.1142/s0129055x19500132.

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As earlier conjectured by several authors and much later established by Solèr, from the lattice-theory point of view, Quantum Mechanics may be formulated in real, complex or quaternionic Hilbert spaces only. On the other hand, no quantum systems seem to exist that are naturally described in a real or quaternionic Hilbert space. In a previous paper [23], we showed that any quantum system which is elementary from the viewpoint of the Poincaré symmetry group and it is initially described in a real Hilbert space, it can also be described within the standard complex Hilbert space framework. This co

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Papaspyrou, S., D. Valougeorgis, and S. A. Karamanos. "Sloshing Effects in Half-Full Horizontal Cylindrical Vessels Under Longitudinal Excitation." Journal of Applied Mechanics 71, no. 2 (2004): 255–65. http://dx.doi.org/10.1115/1.1668165.

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A mathematical model is developed for sloshing effects in half-full horizontal cylindrical vessels, under external excitation in the direction of the longitudinal vessel axis. In this geometry the problem is not separable. The velocity potential is expressed in a double series form, and after some mathematical manipulation the problem results in a series of systems of ordinary linear differential equations, one for each longitudinal mode. For the particular case of harmonic motion, a semi-analytical solution is possible. Keeping only the first two terms of the expansion in the transverse direc

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Dissertations / Theses on the topic "Real equivalent formulation for complex linear systems"

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Marioni, Luca. "Modélisation numerique et couplage électromagnétique-CFD dans les procédés decoulée." Thesis, Paris Sciences et Lettres (ComUE), 2017. http://www.theses.fr/2017PSLEM011/document.

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Beaucoup de procédés utilisés dans l'industrie sidérurgique (coulée de lingots,coulée continue, …) peuvent générer des défauts : macro-ségrégation, mauvaises propriétés de la microstructure, défauts surfaciques. Ces problèmes peuvent être résolus par un contrôle de la température et de l’écoulement d'acier liquide. Le brassage électromagnétique (EMS) est une technique largement utilisée pour contrôler l’écoulement d'acier liquide par l’imposition d'un champ électromagnétique. Cette technique est complexe car elle couple plusieurs types de problèmes physiques:écoulement multiphasique, solidific

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Conference papers on the topic "Real equivalent formulation for complex linear systems"

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Solcia, Tommaso, and Pierangelo Masarati. "Efficient Multirate Simulation of Complex Multibody Systems Based on Free Software." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47306.

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Complex aeroservoelastic and mechatronic systems imply interaction between multidisciplinary or multifield subcomponents, whose dynamics are characterized by problem- and field-specific time scales and frequency ranges. As opposed to what is usually termed monolithic approach to the simulation of coupled problems, where a single formulation (and software solver) directly models the entire problems, the co-simulation approach allows to exploit state-of-art formulations for specific fields by coupling them as appropriate to establish the required interaction between the subcomponents. The intera

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Palchevsky, Evgeny, Olga Khristodulo, and Sergey Pavlov. "Threat prediction in complex distributed systems using artificial neural network technology." In International Conference "Computing for Physics and Technology - CPT2020". Bryansk State Technical University, 2020. http://dx.doi.org/10.30987/conferencearticle_5fce27725ade42.71922144.

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In the context of this article, a method for detecting threats based on their forecasting and development in complex distributed systems is proposed. Initially, the relevance of the research topic is substantiated from the point of view of the prospective use of various methods in the framework of threat management and their forecasting in complex distributed systems. Based on the analysis of these methods, a proprietary forecasting method based on the second generation recurrent neural network (RNN) was proposed. The mathematical formulation of the problem is presented, as well as the structu

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Fernandez, Charles, Shashi Bhushan Kumar, Wai Lok Woo, Rosemary Norman, and Arun Kr. Dev. "Real-Time Prediction of Reliability of Dynamic Positioning Sub-Systems for Computation of Dynamic Positioning Reliability Index (DP-RI) Using Long Short Term Memory (LSTM)." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18844.

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Abstract In this study, a framework using Long Short Term Memory (LSTM) for prediction of reliability of Dynamic Positioning (DP) sub-systems for computation of Dynamic Positioning Reliability Index (DP-RI) has been proposed. The DP System is complex with significant levels of integration between many sub-systems such as the Reference System, DP Control System, Thruster / Propulsion System, Power System, Electrical System and the Environment System to perform diverse control functions. The proposed framework includes a mathematical computation approach to compute reliability of DP sub-systems

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Tokhi, M. O., M. S. Alam, and F. M. Aldebrez. "Adaptive IIR Filtering Techniques for Dynamic Modeling of a Twin Rotor System." In ASME 7th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2004. http://dx.doi.org/10.1115/esda2004-58237.

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This paper investigates the development of a parametric model to characterise pitch movement in a twin rotor multi-input multi-output system (TRMS) using adaptive infinite impulse response (IIR) models. The TRMS is a laboratory platform designed for control experiments. In certain aspects, its behaviour resembles that of a helicopter. It typifies a high-order nonlinear system with significant cross coupling between its two channels. It also simulates similar problems and challenges encountered in real systems. These include complex dynamics that lead to both parametric and dynamic uncertainty,

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Unnikrishnan, Nishant, and Ajay Mahajan. "Intelligent System Identification Using Neural Networks and Genetic Algorithms of an Ultrasonic Positioning System." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-33426.

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This paper presents an intelligent system identification methodology for the identification of a realistic model of an ultrasonic position estimation system that uses the difference in the time of arrivals of waves from a transmitter to various receivers. Even though a linearized formulation for the 3D system exists and is currently being used to estimate the position of the transmitter, its accuracy can still be improved further. A neural network approach is developed to train the system based on training sets obtained from the actual system, and it is proposed to use the final trained system

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Gokdemir, Muzaffer Gorkem, Selcuk Erkekol, and Huseyin Ali Dogan. "Investigation of High Pressure Effect on Drilling Fluid Rheology." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-61449.

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Drilling fluid is the mixture of base fluid and special chemicals. The system is designed to meet operational requirements. These complex fluids can carry drilled cuttings to surface, provide enough force or pressure to the formation and have adequate holding capacity in pump-off period to prevent particle precipitation. These necessities are controlled by fluid rheology. The art of flow or flow science, i.e. rheology, examines the deformation and flow behavior of the fluid. Ideal viscous flow through ideal elastic deformation is analyzed in this branch. Increase in energy demand and depletion

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San Andrés, Luis, and Sung-Hwa Jeung. "Orbit-Model Force Coefficients for Fluid Film Bearings: A Step Beyond Linearization." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-43487.

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High performance turbomachinery demands high shaft speeds, increased rotor flexibility, tighter clearances in the flow passages, advanced materials, and increased tolerance to imbalances. Operation at high speeds induces severe dynamic loading with large amplitude shaft motions at the bearing supports. Typical rotordynamic models rely on linearized force coefficients (stiffness K, damping C, and inertia M) to model the reaction forces from fluid film bearings and seal elements. These true linear force coefficients are derived from infinitesimally small amplitude motions about an equilibrium po

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Heshmat, Hooshang, and James F. Walton. "On the Integration of Hot Foil Bearings Into Gas Turbine Engines: Theoretical Treatment." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-91710.

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Abstract To achieve high power density Gas Turbine Engines (GTEs), R&D efforts have strived to develop machines that spin faster and run hotter. One method to achieve that goal is to use high temperature capable foil bearings. In order to successfully integrate these advanced foil bearings into GTE systems, a theoretical understanding of both bearing and rotor system integration is essential. Without a fundamental understanding and sound theoretical modeling of the foil bearing coupled with the rotating system such an approach would prove application efforts fruitless. It is hoped that the

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