Nonlinear Systems Analysis

Author : M. Vidyasagar
Publisher : SIAM
Page : 515 pages
File Size : 46,6 Mb
Release : 2002-01-01
Category : Mathematics
ISBN : 0898719186

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Nonlinear Systems Analysis by M. Vidyasagar Pdf

When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are nonlinear in nature. The second edition, now republished in SIAM's Classics in Applied Mathematics series, provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory. The book contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. Audience: this text is designed for use at the graduate level in the area of nonlinear systems and as a resource for professional researchers and practitioners working in areas such as robotics, spacecraft control, motor control, and power systems.

Author : Shankar Sastry
Publisher : Springer Science & Business Media
Page : 690 pages
File Size : 49,6 Mb
Release : 2013-04-18
Category : Mathematics
ISBN : 9781475731088

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Nonlinear Systems by Shankar Sastry Pdf

There has been much excitement over the emergence of new mathematical techniques for the analysis and control of nonlinear systems. In addition, great technological advances have bolstered the impact of analytic advances and produced many new problems and applications which are nonlinear in an essential way. This book lays out in a concise mathematical framework the tools and methods of analysis which underlie this diversity of applications.

Author : M. Vidyasagar
Publisher : SIAM
Page : 511 pages
File Size : 41,5 Mb
Release : 2002-10-01
Category : Mathematics
ISBN : 9780898715262

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Nonlinear Systems Analysis by M. Vidyasagar Pdf

This text provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations.

Author : Austin Blaquière
Publisher : Unknown
Page : 468 pages
File Size : 44,5 Mb
Release : 1966
Category : Mathematics
ISBN : UOM:39015001317844

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Nonlinear System Analysis by Austin Blaquière Pdf

Author : Horacio Márquez
Publisher : Wiley-Interscience
Page : 376 pages
File Size : 47,7 Mb
Release : 2003-04-25
Category : Science
ISBN : 0471427993

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Nonlinear Control Systems by Horacio Márquez Pdf

Provides complete coverage of both the Lyapunov and Input-Output stability theories, ina readable, concise manner. * Supplies an introduction to the popular backstepping approach to nonlinear control design * Gives a thorough discussion of the concept of input-to-state stability * Includes a discussion of the fundamentals of feedback linearization and related results. * Details complete coverage of the fundamentals of dissipative system's theory and its application in the so-called L2gain control prooblem, for the first time in an introductory level textbook. * Contains a thorough discussion of nonlinear observers, a very important problem, not commonly encountered in textbooksat this level. *An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

Author : Seyed Kamaleddin Yadavar Nikravesh
Publisher : CRC Press
Page : 319 pages
File Size : 40,7 Mb
Release : 2018-09-03
Category : Science
ISBN : 9781466569294

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Nonlinear Systems Stability Analysis by Seyed Kamaleddin Yadavar Nikravesh Pdf

The equations used to describe dynamic properties of physical systems are often nonlinear, and it is rarely possible to find their solutions. Although numerical solutions are impractical and graphical techniques are not useful for many types of systems, there are different theorems and methods that are useful regarding qualitative properties of nonlinear systems and their solutions—system stability being the most crucial property. Without stability, a system will not have value. Nonlinear Systems Stability Analysis: Lyapunov-Based Approach introduces advanced tools for stability analysis of nonlinear systems. It presents the most recent progress in stability analysis and provides a complete review of the dynamic systems stability analysis methods using Lyapunov approaches. The author discusses standard stability techniques, highlighting their shortcomings, and also describes recent developments in stability analysis that can improve applicability of the standard methods. The text covers mostly new topics such as stability of homogonous nonlinear systems and higher order Lyapunov functions derivatives for stability analysis. It also addresses special classes of nonlinear systems including time-delayed and fuzzy systems. Presenting new methods, this book provides a nearly complete set of methods for constructing Lyapunov functions in both autonomous and nonautonomous systems, touching on new topics that open up novel research possibilities. Gathering a body of research into one volume, this text offers information to help engineers design stable systems using practice-oriented methods and can be used for graduate courses in a range of engineering disciplines.

Author : Stephen J. Guastello,Robert A.M. Gregson
Publisher : CRC Press
Page : 631 pages
File Size : 47,5 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781439820025

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Nonlinear Dynamical Systems Analysis for the Behavioral Sciences Using Real Data by Stephen J. Guastello,Robert A.M. Gregson Pdf

Although its roots can be traced to the 19th century, progress in the study of nonlinear dynamical systems has taken off in the last 30 years. While pertinent source material exists, it is strewn about the literature in mathematics, physics, biology, economics, and psychology at varying levels of accessibility. A compendium research methods reflect

Author : Jean Levine
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 44,5 Mb
Release : 2009-05-28
Category : Technology & Engineering
ISBN : 9783642008399

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Analysis and Control of Nonlinear Systems by Jean Levine Pdf

This book examines control of nonlinear systems. Coverage ranges from mathematical system theory to practical industrial control applications. The author offers web-based videos illustrating some dynamical aspects and case studies in simulation.

Author : Vangipuram Lakshmikantham,Srinivasa Leela,Anatoly A. Martynyuk
Publisher : Birkhäuser
Page : 329 pages
File Size : 53,9 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 : Daizhan Cheng,Xiaoming Hu,Tielong Shen
Publisher : Springer Science & Business Media
Page : 690 pages
File Size : 45,7 Mb
Release : 2011-03-28
Category : Science
ISBN : 9783642115509

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Analysis and Design of Nonlinear Control Systems by Daizhan Cheng,Xiaoming Hu,Tielong Shen Pdf

"Analysis and Design of Nonlinear Control Systems" provides a comprehensive and up to date introduction to nonlinear control systems, including system analysis and major control design techniques. The book is self-contained, providing sufficient mathematical foundations for understanding the contents of each chapter. Scientists and engineers engaged in the field of Nonlinear Control Systems will find it an extremely useful handy reference book. Dr. Daizhan Cheng, a professor at Institute of Systems Science, Chinese Academy of Sciences, has been working on the control of nonlinear systems for over 30 years and is currently a Fellow of IEEE and a Fellow of IFAC, he is also the chairman of Technical Committee on Control Theory, Chinese Association of Automation.

Author : Mathukumalli Vidyasagar
Publisher : Unknown
Page : 498 pages
File Size : 40,7 Mb
Release : 1993
Category : Differential equations, Nonlinear
ISBN : 0136235131

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Nonlinear Systems Analysis by Mathukumalli Vidyasagar Pdf

Author : Katalin M. Hangos,József Bokor,Gábor Szederkényi
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 54,5 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9781852338619

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Analysis and Control of Nonlinear Process Systems by Katalin M. Hangos,József Bokor,Gábor Szederkényi Pdf

This straightforward text makes the complicated but powerful methods of non-linear control accessible to process engineers. Not only does it cover the necessary mathematics, but it consistently refers to the widely-known finite-dimensional linear time-invariant continuous case as a basis for extension to the nonlinear situation.

Author : Iasson Karafyllis,Zhong-Ping Jiang
Publisher : Springer Science & Business Media
Page : 401 pages
File Size : 54,9 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 : Ivo Petráš
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 42,8 Mb
Release : 2011-05-30
Category : Technology & Engineering
ISBN : 9783642181016

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Fractional-Order Nonlinear Systems by Ivo Petráš Pdf

"Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described using fractional derivatives and fractional differential equations, how such equations can be solved, and how to simulate and explore chaotic systems of fractional order. The book addresses to mathematicians, physicists, engineers, and other scientists interested in chaos phenomena or in fractional-order systems. It can be used in courses on dynamical systems, control theory, and applied mathematics at graduate or postgraduate level. Ivo Petráš is an Associate Professor of automatic control and the Director of the Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, Slovak Republic. His main research interests include control systems, industrial automation, and applied mathematics.

Author : P. G. Drazin
Publisher : Cambridge University Press
Page : 354 pages
File Size : 55,9 Mb
Release : 1992-06-26
Category : Mathematics
ISBN : 0521406684

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Nonlinear Systems by P. G. Drazin Pdf

The theories of bifurcation, chaos and fractals as well as equilibrium, stability and nonlinear oscillations, are part of the theory of the evolution of solutions of nonlinear equations. A wide range of mathematical tools and ideas are drawn together in the study of these solutions, and the results applied to diverse and countless problems in the natural and social sciences, even philosophy. The text evolves from courses given by the author in the UK and the United States. It introduces the mathematical properties of nonlinear systems, mostly difference and differential equations, as an integrated theory, rather than presenting isolated fashionable topics. Topics are discussed in as concrete a way as possible and worked examples and problems are used to explain, motivate and illustrate the general principles. The essence of these principles, rather than proof or rigour, is emphasized. More advanced parts of the text are denoted by asterisks, and the mathematical prerequisites are limited to knowledge of linear algebra and advanced calculus, thus making it ideally suited to both senior undergraduates and postgraduates from physics, engineering, chemistry, meteorology etc. as well as mathematics.