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This book comprehensively presents a recently developed novel methodology for analysis and control of time-delay systems. Time-delays frequently occurs in engineering and science. Such time-delays can cause problems (e.g. instability) and limit the achievable performance of control systems. The concise and self-contained volume uses the Lambert W function to obtain solutions to time-delay systems represented by delay differential equations. Subsequently, the solutions are used to analyze essential system properties and to design controllers precisely and effectively.
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Wireless communication systems --- Time delay systems --- Management. --- Estimates.
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Wireless communication systems --- Time delay systems --- Management. --- Estimates.
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Time delays in dynamical systems arise as an inevitable consequence of finite speeds of information transmission. Realistic models increasingly demand the inclusion of delays in order to properly understand, analyze, design, and control real-life systems. The goal of this book is to present the state-of-the-art in research on time-delay dynamics in the framework of complex systems and networks. While the mathematical theory of delay equations is quite mature, its application to the particular problems of complex systems and complexity is a newly emerging field, and the present volume aims to play a pioneering role in this perspective. The chapters in this volume are authored by renowned experts and cover both theory and applications in a wide range of fields, with examples extending from neuroscience and biology to laser physics and vehicle traffic. Furthermore, all chapters include sufficient introductory material and extensive bibliographies, making the book a self-contained reference for both students and active researchers alike.
Mathematics. --- Systems Theory, Control. --- Statistical Physics, Dynamical Systems and Complexity. --- Mathematical Biology in General. --- Information and Communication, Circuits. --- Game Theory, Economics, Social and Behav. Sciences. --- Complexity. --- Biology --- Systems theory. --- Physics. --- Engineering. --- Mathématiques --- Physique --- Ingénierie --- Mathematics --- Engineering --- Physics --- Systems theory --- Time delay systems --- Biology - Mathematics
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This research addresses delay effects in nonlinear systems, which are ubiquitous in various fields of physics, chemistry, biology, engineering, and even in social and economic systems. They may arise as a result of processing times or due to the finite propagation speed of information between the constituents of a complex system. Time delay has two complementary, counterintuitive and almost contradictory facets. On the one hand, delay is able to induce instabilities, bifurcations of periodic and more complicated orbits, multi-stability and chaotic motion. On the other hand, it can suppress instabilities, stabilize unstable stationary or periodic states and may control complex chaotic dynamics. This thesis deals with both aspects, and presents novel fundamental results on the controllability of nonlinear dynamics by time-delayed feedback, as well as applications to lasers, hybrid-mechanical systems, and coupled neural systems.
Computational complexity. --- Nonlinear theories. --- System analysis. --- System theory. --- Nonlinear systems --- Time delay systems --- Civil & Environmental Engineering --- Physics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Atomic Physics --- Operations Research --- Nonlinear control theory. --- Physics. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Control theory --- Nonlinear theories --- Statistical physics. --- Mathematical statistics --- Statistical methods --- Dynamical systems. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics
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Switched Time-Delay Systems presents an introductory, yet comprehensive, treatment of switched time-delay systems by jointly combining two fundamental attributes: the system dynamics possesses an inherent time-delay and the system operational mode undergoes switching among different modes. While each attribute has been examined individually in several texts, the integration of both attributes is quite unique and deserves special consideration. The material contained in this book is not only organized to focus on the new developments in the analysis and control methodologies for such switched time-delay systems, but it also integrates the impact of the delay factor on issues such as asymptotic/exponential stability, feedback stabilization and control design. Switched Time-Delay Systems is composed of chapters equipped with illustrative examples and relevant notes. It will be useful to engineers and researchers in the field of switched time-delay systems.
Automatic control. --- Control theory. --- Time delay systems. --- Time delay systems --- Switching circuits --- Mechanical Engineering --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Electrical Engineering --- Mechanical Engineering - General --- Switching circuits. --- Circuits, Switching --- Time delay control --- Time delay control systems --- Time delay controllers --- Time-delayed systems --- Engineering. --- Applied mathematics. --- Engineering mathematics. --- Computational intelligence. --- Control engineering. --- Robotics. --- Mechatronics. --- Electronic circuits. --- Circuits and Systems. --- Computational Intelligence. --- Applications of Mathematics. --- Appl.Mathematics/Computational Methods of Engineering. --- Control, Robotics, Mechatronics. --- Electron-tube circuits --- Electric circuits --- Electron tubes --- Electronics --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Automation --- Machine theory --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Programmable controllers --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Engineering --- Engineering analysis --- Mathematical analysis --- Construction --- Industrial arts --- Technology --- Mathematics --- Digital electronics --- Electric switchgear --- Electronic circuits --- Switching theory --- Feedback control systems --- Process control --- Systems engineering. --- Mathematics. --- Mathematical and Computational Engineering. --- Engineering systems --- System engineering --- Industrial engineering --- System analysis --- Math --- Science --- Design and construction
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Time delays in dynamical systems arise as an inevitable consequence of finite speeds of information transmission. Realistic models increasingly demand the inclusion of delays in order to properly understand, analyze, design, and control real-life systems. The goal of this book is to present the state-of-the-art in research on time-delay dynamics in the framework of complex systems and networks. While the mathematical theory of delay equations is quite mature, its application to the particular problems of complex systems and complexity is a newly emerging field, and the present volume aims to play a pioneering role in this perspective. The chapters in this volume are authored by renowned experts and cover both theory and applications in a wide range of fields, with examples extending from neuroscience and biology to laser physics and vehicle traffic. Furthermore, all chapters include sufficient introductory material and extensive bibliographies, making the book a self-contained reference for both students and active researchers alike.
Automatic control. --- Electronic books. -- local. --- Time delay systems. --- Time delay systems --- System theory --- Civil & Environmental Engineering --- Mechanical Engineering --- Mechanical Engineering - General --- Operations Research --- Engineering & Applied Sciences --- Control engineering --- Control equipment --- Time delay control --- Time delay control systems --- Time delay controllers --- Time-delayed systems --- Mathematics. --- Game theory. --- Information theory. --- System theory. --- Biomathematics. --- Statistical physics. --- Dynamical systems. --- Complexity, Computational. --- Systems Theory, Control. --- Statistical Physics, Dynamical Systems and Complexity. --- Mathematical and Computational Biology. --- Information and Communication, Circuits. --- Game Theory, Economics, Social and Behav. Sciences. --- Complexity. --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Feedback control systems --- Process control --- Systems theory. --- Engineering. --- Complex Systems. --- Construction --- Industrial arts --- Technology --- Math --- Science --- Computational complexity. --- Biology --- Mathematics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Mathematical statistics --- Systems, Theory of --- Systems science --- Complexity, Computational --- Electronic data processing --- Machine theory --- Games, Theory of --- Theory of games --- Mathematical models --- Communication theory --- Communication --- Cybernetics --- Statistical methods --- Philosophy --- Control theory. --- Computer science --- Dynamics. --- Nonlinear theories. --- Systems Theory, Control . --- Mathematical Applications in Computer Science. --- Game Theory. --- Applied Dynamical Systems. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Computer mathematics --- Dynamics
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"Stability Analysis and Robust Control of Time-Delay Systems" focuses on essential aspects of this field, including the stability analysis, stabilization, control design, and filtering of various time-delay systems. Primarily based on the most recent research, this monograph presents all the above areas using a free-weighting matrix approach first developed by the authors. The effectiveness of this method and its advantages over other existing ones are proven theoretically and illustrated by means of various examples. The book will give readers an overview of the latest advances in this active research area and equip them with a pioneering method for studying time-delay systems. It will be of significant interest to researchers and practitioners engaged in automatic control engineering. Prof. Min Wu, senior member of the IEEE, works at the Central South University, China.
Functional equations. --- Mathematics. --- Systems theory. --- Vibration. --- Time delay systems --- Robust control --- Stability --- Mechanical Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Operations Research --- Automatic control. --- Feedback control systems. --- Feedback mechanisms --- Feedback systems --- Control engineering --- Control equipment --- Difference equations. --- System theory. --- Dynamical systems. --- Dynamics. --- Control engineering. --- Systems Theory, Control. --- Control. --- Vibration, Dynamical Systems, Control. --- Difference and Functional Equations. --- Automatic control --- Automation --- Discrete-time systems --- Adaptive control systems --- Feedforward control systems --- Control theory --- Engineering instruments --- Programmable controllers --- Control and Systems Theory. --- Equations, Functional --- Functional analysis --- Cycles --- Mechanics --- Sound --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Physics --- Statics --- Systems, Theory of --- Systems science --- Science --- Philosophy
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