Stability And Stabilization Of Nonlinear Systems

Author : Iasson Karafyllis,Zhong-Ping Jiang
Publisher : Springer Science & Business Media
Page : 401 pages
File Size : 40,7 Mb
Release : 2011-04-02
Category : Technology & Engineering
ISBN : 9780857295132

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Stability and Stabilization of Nonlinear Systems by Iasson Karafyllis,Zhong-Ping Jiang Pdf

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.

Author : Dirk Aeyels,Francoise Lamnabhi-Lagarrigue,Arjan van der Schaft
Publisher : Springer
Page : 392 pages
File Size : 51,5 Mb
Release : 2014-10-03
Category : Computers
ISBN : 1447139720

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Stability and Stabilization of Nonlinear Systems by Dirk Aeyels,Francoise Lamnabhi-Lagarrigue,Arjan van der Schaft Pdf

Author : A.J. Fossard,D. Normand-Cyrot
Publisher : Springer Science & Business Media
Page : 227 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461520474

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Nonlinear Systems by A.J. Fossard,D. Normand-Cyrot Pdf

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.

Author : A.J. Fossard,D. Normand-Cyrot
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 53,8 Mb
Release : 1996-07-31
Category : Technology & Engineering
ISBN : 0412600005

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Nonlinear Systems by A.J. Fossard,D. Normand-Cyrot Pdf

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.

Author : I. Ya Kats,A.A. Martynyuk
Publisher : CRC Press
Page : 256 pages
File Size : 40,5 Mb
Release : 2002-08-22
Category : Mathematics
ISBN : 9780203218891

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Stability and Stabilization of Nonlinear Systems with Random Structures by I. Ya Kats,A.A. Martynyuk Pdf

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 sys

Author : Sophie Tarbouriech,Germain Garcia,João Manoel Gomes da Silva Jr.,Isabelle Queinnec
Publisher : Springer Science & Business Media
Page : 441 pages
File Size : 41,6 Mb
Release : 2011-08-13
Category : Technology & Engineering
ISBN : 9780857299413

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Stability and Stabilization of Linear Systems with Saturating Actuators by Sophie Tarbouriech,Germain Garcia,João Manoel Gomes da Silva Jr.,Isabelle Queinnec Pdf

This monograph details basic concepts and tools fundamental for the analysis and synthesis of linear systems subject to actuator saturation and developments in recent research. The authors use a state-space approach and focus on stability analysis and the synthesis of stabilizing control laws in both local and global contexts. Different methods of modeling the saturation and behavior of the nonlinear closed-loop system are given special attention. Various kinds of Lyapunov functions are considered to present different stability conditions. Results arising from uncertain systems and treating performance in the presence of saturation are given. The text proposes methods and algorithms, based on the use of linear programming and linear matrix inequalities, for computing estimates of the basin of attraction and for designing control systems accounting for the control bounds and the possibility of saturation. They can be easily implemented with mathematical software packages.

Author : William J. Terrell
Publisher : Princeton University Press
Page : 484 pages
File Size : 41,8 Mb
Release : 2009-02-15
Category : Mathematics
ISBN : 0691134448

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Stability and Stabilization by William J. Terrell Pdf

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

Author : Fossard,
Publisher : Elsevier Masson
Page : 244 pages
File Size : 55,7 Mb
Release : 1996
Category : Electronic
ISBN : 2225852383

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Nonlinear systems Tome 2 by Fossard, Pdf

Author : Zhiyong Chen,Jie Huang
Publisher : Springer
Page : 356 pages
File Size : 52,9 Mb
Release : 2014-08-30
Category : Technology & Engineering
ISBN : 9783319088341

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Stabilization and Regulation of Nonlinear Systems by Zhiyong Chen,Jie Huang Pdf

The core of this textbook is a systematic and self-contained treatment of the nonlinear stabilization and output regulation problems. Its coverage embraces both fundamental concepts and advanced research outcomes and includes many numerical and practical examples. Several classes of important uncertain nonlinear systems are discussed. The state-of-the art solution presented uses robust and adaptive control design ideas in an integrated approach which demonstrates connections between global stabilization and global output regulation allowing both to be treated as stabilization problems. Stabilization and Regulation of Nonlinear Systems takes advantage of rich new results to give students up-to-date instruction in the central design problems of nonlinear control, problems which are a driving force behind the furtherance of modern control theory and its application. The diversity of systems in which stabilization and output regulation become significant concerns in the mathematical formulation of practical control solutions—whether in disturbance rejection in flying vehicles or synchronization of Lorenz systems with harmonic systems—makes the text relevant to readers from a wide variety of backgrounds. Many exercises are provided to facilitate study and solutions are freely available to instructors via a download from springerextras.com. Striking a balance between rigorous mathematical treatment and engineering practicality, Stabilization and Regulation of Nonlinear Systems is an ideal text for graduate students from many engineering and applied-mathematical disciplines seeking a contemporary course in nonlinear control. Practitioners and academic theorists will also find this book a useful reference on recent thinking in this field.

Author : William J. Terrell
Publisher : Princeton University Press
Page : 473 pages
File Size : 48,9 Mb
Release : 2009-02-15
Category : Mathematics
ISBN : 9780691134444

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Stability and Stabilization by William J. Terrell Pdf

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

Author : I. Ya Kats,A.A. Martynyuk
Publisher : CRC Press
Page : 256 pages
File Size : 49,9 Mb
Release : 2002-08-22
Category : Mathematics
ISBN : 041527253X

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Stability and Stabilization of Nonlinear Systems with Random Structures by I. Ya Kats,A.A. Martynyuk Pdf

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.

Author : Sergey Nikitin
Publisher : World Scientific
Page : 292 pages
File Size : 46,9 Mb
Release : 1994
Category : Mathematics
ISBN : 981021779X

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Global Controllability and Stabilization of Nonlinear Systems by Sergey Nikitin Pdf

The main purpose of this book is to provide a self-contained, complete and geometrically clear presentation of the recent results on global controllability and stabilization. It contains many pictures and exercises so as to develop a geometrical control intuition and inspire the reader to think independently. The material presented is organized such that for Part I, it is only assumed that the reader has mastered the very basic notions of ordinary differential equation theory, general topology and analytic geometry. For Part II, the reader is assumed to be familiar with the elements of differential geometry.

Author : Vangipuram Lakshmikantham,Srinivasa Leela,Anatoly A. Martynyuk
Publisher : Birkhäuser
Page : 329 pages
File Size : 44,8 Mb
Release : 2015-12-29
Category : Mathematics
ISBN : 9783319272009

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Stability Analysis of Nonlinear Systems by Vangipuram Lakshmikantham,Srinivasa Leela,Anatoly A. Martynyuk Pdf

The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme. It also demonstrates manifestations of the general Lyapunov method, showing how this technique can be adapted to various apparently diverse nonlinear problems. Furthermore it discusses the application of theoretical results to several different models chosen from real world phenomena, furnishing data that is particularly relevant for practitioners. Stability Analysis of Nonlinear Systems is an invaluable single-sourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations.

Author : A. J. Fossard,D. Normand-Cyrot
Publisher : Unknown
Page : 128 pages
File Size : 55,8 Mb
Release : 1995
Category : Electronic
ISBN : OCLC:636925010

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Nonlinear Systems by A. J. Fossard,D. Normand-Cyrot Pdf

Author : Miroslav Krstic,Hua Deng
Publisher : Communications and Control Engineering
Page : 216 pages
File Size : 46,8 Mb
Release : 1998-05-21
Category : Language Arts & Disciplines
ISBN : STANFORD:36105023068286

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Stabilization of Nonlinear Uncertain Systems by Miroslav Krstic,Hua Deng Pdf

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.