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Stability And Stabilization Of Nonlinear Systems


Stability And Stabilization Of Nonlinear Systems
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Stability And Stabilization Of Nonlinear Systems


Stability And Stabilization Of Nonlinear Systems
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Author : Iasson Karafyllis
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-02

Stability And Stabilization Of Nonlinear Systems written by Iasson Karafyllis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-02 with Technology & Engineering categories.


Recently, the subject of nonlinear control systems analysis has grown rapidly and this book provides a simple and self-contained presentation of their stability and feedback stabilization which enables the reader to learn and understand major techniques used in mathematical control theory. In particular: the important techniques of proving global stability properties are presented closely linked with corresponding methods of nonlinear feedback stabilization; a general framework of methods for proving stability is given, thus allowing the study of a wide class of nonlinear systems, including finite-dimensional systems described by ordinary differential equations, discrete-time systems, systems with delays and sampled-data systems; approaches to the proof of classical global stability properties are extended to non-classical global stability properties such as non-uniform-in-time stability and input-to-output stability; and new tools for stability analysis and control design of a wide class of nonlinear systems are introduced. The presentational emphasis of Stability and Stabilization of Nonlinear Systems is theoretical but the theory’s importance for concrete control problems is highlighted with a chapter specifically dedicated to applications and with numerous illustrative examples. Researchers working on nonlinear control theory will find this monograph of interest while graduate students of systems and control can also gain much insight and assistance from the methods and proofs detailed in this book.



Stability And Stabilization Of Nonlinear Systems


Stability And Stabilization Of Nonlinear Systems
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Author : Dirk Aeyels
language : en
Publisher: Springer
Release Date : 2014-10-03

Stability And Stabilization Of Nonlinear Systems written by Dirk Aeyels and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-03 with Computers categories.




Stability And Stabilization


Stability And Stabilization
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Author : William J. Terrell
language : en
Publisher: Princeton University Press
Release Date : 2009-02-15

Stability And Stabilization written by William J. Terrell and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-15 with Mathematics categories.


Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Designed for advanced undergraduates and beginning graduate students in the sciences, engineering, and mathematics, the book takes a unique modern approach that bridges the gap between linear and nonlinear systems. Presenting stability and stabilization of equilibria as a core problem of mathematical control theory, the book emphasizes the subject's mathematical coherence and unity, and it introduces and develops many of the core concepts of systems and control theory. There are five chapters on linear systems and nine chapters on nonlinear systems; an introductory chapter; a mathematical background chapter; a short final chapter on further reading; and appendixes on basic analysis, ordinary differential equations, manifolds and the Frobenius theorem, and comparison functions and their use in differential equations. The introduction to linear system theory presents the full framework of basic state-space theory, providing just enough detail to prepare students for the material on nonlinear systems. Focuses on stability and feedback stabilization Bridges the gap between linear and nonlinear systems for advanced undergraduates and beginning graduate students Balances coverage of linear and nonlinear systems Covers cascade systems Includes many examples and exercises



Stabilization Of Nonlinear Uncertain Systems


Stabilization Of Nonlinear Uncertain Systems
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Author : Miroslav Krstic
language : en
Publisher: Communications and Control Engineering
Release Date : 1998-05-21

Stabilization Of Nonlinear Uncertain Systems written by Miroslav Krstic and has been published by Communications and Control Engineering this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-21 with Language Arts & Disciplines categories.


This monograph presents the fundamentals of global stabilization and optimal control of nonlinear systems with uncertain models. It offers a unified view of deterministic disturbance attenuation, stochastic control, and adaptive control for nonlinear systems. The book addresses researchers in the areas of robust and adaptive nonlinear control, nonlinear H-infinity stochastic control, and other related areas of control and dynamical systems theory.



Nonlinear Dynamical Control Systems


Nonlinear Dynamical Control Systems
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Author : Henk Nijmeijer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Nonlinear Dynamical Control Systems written by Henk Nijmeijer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Technology & Engineering categories.


This book has recently been retypeset in LaTeX for clearer presentation. This textbook on the differential geometric approach to nonlinear control grew out of a set of lecture notes, which were prepared for a course on nonlinear system theory, given by us for the first time during the fall semester of 1988. The audience consisted mostly of graduate students , taking part in the Dutch national Graduate Program on Systems and Control.The course gives a general introduction to modern nonlinear control theory (with an emphasis on the differential geometric approach), as well as providing students specializing in nonlinear control theory with a firm starting point for doing research in this area. One of the authors' primary objectives is to give a self-contained treatment of all the topics covered. Although the amount of work published on nonlinear geometric control theory is expanding rapidly expanding, the authors confine themselves to treating solid and clear-cut achievements of modern nonlinear control, which can be expected to be of remaining interest. The final selection of topics reflects the authors' own judgement of their importance.



Stability And Stabilization Of Nonlinear Systems With Random Structures


Stability And Stabilization Of Nonlinear Systems With Random Structures
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Author : I. Ya Kats
language : en
Publisher: CRC Press
Release Date : 2002-08-22

Stability And Stabilization Of Nonlinear Systems With Random Structures written by I. Ya Kats and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-22 with Mathematics categories.


Nonlinear systems with random structures arise quite frequently as mathematical models in diverse disciplines. This monograph presents a systematic treatment of stability theory and the theory of stabilization of nonlinear systems with random structure in terms of new developments in the direct Lyapunov's method. The analysis focuses on dynamic systems with random Markov parameters. This high-level research text is recommended for all those researching or studying in the fields of applied mathematics, applied engineering, and physics-particularly in the areas of stochastic differential equations, dynamical systems, stability, and control theory.



Practical Stability Of Nonlinear Systems


Practical Stability Of Nonlinear Systems
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Author : Vangipuram Lakshmikantham
language : en
Publisher: World Scientific
Release Date : 1990-11-14

Practical Stability Of Nonlinear Systems written by Vangipuram Lakshmikantham and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-11-14 with Mathematics categories.


This is the first book that deals with practical stability and its development. It presents a systematic study of the theory of practical stability in terms of two different measures and arbitrary sets and demonstrates the manifestations of general Lyapunov's method by showing how this effective technique can be adapted to investigate various apparently diverse nonlinear problems including control systems and multivalued differential equations.



Nonlinear Systems


Nonlinear Systems
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Author : A.J. Fossard
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-07-31

Nonlinear Systems written by A.J. Fossard and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-31 with Technology & Engineering categories.


Nonlinear Systems is divided into three volumes. The first deals with modeling and estimation, the second with stability and stabilization and the third with control. This three-volume set provides the most comprehensive and detailed reference available on nonlinear systems. Written by a group of leading experts in the field, drawn from industry, government and academic institutions, it provides a solid theoretical basis on nonlinear control methods as well as practical examples and advice for engineers, teachers and researchers working with nonlinear systems. Each book focuses on the applicability of the concepts introduced and keeps the level of mathematics to a minimum. Simulations and industrial examples drawn from aerospace as well as mechanical, electrical and chemical engineering are given throughout.



Nonlinear Control Under Nonconstant Delays


Nonlinear Control Under Nonconstant Delays
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Author : Nikolaos Bekiaris-Liberis
language : en
Publisher: SIAM
Release Date : 2013-09-25

Nonlinear Control Under Nonconstant Delays written by Nikolaos Bekiaris-Liberis and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-25 with Mathematics categories.


The authors have developed a methodology for control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting the internal state of a system. In addition to control synthesis, they introduce tools to quantify the performance and the robustness properties of the designs provided in the book. The book is based on the concept of predictor feedback and infinite-dimensional backstepping transformation for linear systems and the authors guide the reader from the basic ideas of the concept?with constant delays only on the input?all the way through to nonlinear systems with state-dependent delays on the input as well as on system states. Readers will find the book useful because the authors provide elegant and systematic treatments of long-standing problems in delay systems, such as systems with state-dependent delays that arise in many applications. In addition, the authors give all control designs by explicit formulae, making the book especially useful for engineers who have faced delay-related challenges and are concerned with actual implementations and they accompany all control designs with Lyapunov-based analysis for establishing stability and performance guarantees.



Advanced Topics In Nonlinear Control Systems


Advanced Topics In Nonlinear Control Systems
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Author : T. P. Leung
language : en
Publisher: World Scientific
Release Date : 2001

Advanced Topics In Nonlinear Control Systems written by T. P. Leung and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Technology & Engineering categories.


Over the last 50 years or so, a number of textbooks, monographs and even popular books have been published on nonlinear control theory and design methods. In the area of classical control, for example, there exist books concerned with phase-plane analysis, describing function approach, absolute stability and so on. In the area of modern control there are those related to optimal control, using differential geometry and the differential algebra method, variable structural control, H-infinite control and so on. These books have been useful in promoting the development of automatic control science and technology. Since 1990 there have been many new results and contributions in the area of nonlinear control. This book introduces those topics to interested readers. It will also benefit automation engineers, researchers and scholars in related fields.