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Author : Jagdishkumar Keshoram Aggarwal
Publisher : Unknown
Page : 232 pages
File Size : 55,7 Mb
Release : 1972
Category : Mathematics
ISBN : UOM:39015003711218
Author : Alberto Isidori
Publisher : Springer Science & Business Media
Page : 487 pages
File Size : 49,5 Mb
Release : 2013-04-17
Category : Computers
ISBN : 9783662025819
The purpose of this book is to present a self-contained description of the fundamentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach. The book is intended as a graduate text as well as a reference to scientists and engineers involved in the analysis and design of feedback systems. The first version of this book was written in 1983, while I was teaching at the Department of Systems Science and Mathematics at Washington University in St. Louis. This new edition integrates my subsequent teaching experience gained at the University of Illinois in Urbana-Champaign in 1987, at the Carl Cranz Gesellschaft in Oberpfaffenhofen in 1987, at the University of California in Berkeley in 1988. In addition to a major rearrangement of the last two Chapters of the first version, this new edition incorporates two additional Chapters at a more elementary level and an exposition of some relevant research findings which have occurred since 1985. In the past few years differential geometry has proved to be an effective means of analysis and design of nonlinear control systems as it was in the past for the Laplace transform, complex variable theory and linear algebra in relation to linear systems. Synthesis problems of longstanding interest like disturbance decoupling, noninteracting control, output regulation, and the shaping of the input-output response, can be dealt with relative ease, on the basis of mathematical concepts that can be easily acquired by a control scientist.
Author : Henk Nijmeijer,Arjan van der Schaft
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 50,6 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9781475721010
This volume deals with controllability and observability properties of nonlinear systems, as well as various ways to obtain input-output representations. The emphasis is on fundamental notions as (controlled) invariant distributions and submanifolds, together with algorithms to compute the required feedbacks.
Author : Vangipuram Lakshmikantham,Srinivasa G Leela,Anatolli A Martynyuk
Publisher : World Scientific
Page : 219 pages
File Size : 54,5 Mb
Release : 1990-11-14
Category : Mathematics
ISBN : 9789814551908
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.
Author : Yvette Kosmann-Schwarzbach,Basil Grammaticos,K.M. Tamizhmani
Publisher : Springer Science & Business Media
Page : 358 pages
File Size : 49,5 Mb
Release : 2004-02-17
Category : Science
ISBN : 3540206302
The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems. The present edition is a streamlined, revised and updated version of a 1997 set of notes that was published as Lecture Notes in Physics, Volume 495. This volume will be complemented by a companion book dedicated to discrete integrable systems. Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.
Author : M. Vidyasagar
Publisher : SIAM
Page : 515 pages
File Size : 46,7 Mb
Release : 2002-01-01
Category : Mathematics
ISBN : 0898719186
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 : Ronald R. Mohler
Publisher : Unknown
Page : 128 pages
File Size : 47,7 Mb
Release : 1991
Category : Electronic
ISBN : LCCN:89026633
Author : Wassim M. Haddad,VijaySekhar Chellaboina
Publisher : Princeton University Press
Page : 975 pages
File Size : 45,7 Mb
Release : 2011-09-19
Category : Mathematics
ISBN : 9781400841042
Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems. Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.
Author : Nathan van de Wouw,Erjen Lefeber,Ines Lopez Arteaga
Publisher : Springer
Page : 234 pages
File Size : 44,8 Mb
Release : 2016-07-07
Category : Technology & Engineering
ISBN : 9783319303574
This treatment of modern topics related to the control of nonlinear systems is a collection of contributions celebrating the work of Professor Henk Nijmeijer and honoring his 60th birthday. It addresses several topics that have been the core of Professor Nijmeijer’s work, namely: the control of nonlinear systems, geometric control theory, synchronization, coordinated control, convergent systems and the control of underactuated systems. The book presents recent advances in these areas, contributed by leading international researchers in systems and control. In addition to the theoretical questions treated in the text, particular attention is paid to a number of applications including (mobile) robotics, marine vehicles, neural dynamics and mechanical systems generally. This volume provides a broad picture of the analysis and control of nonlinear systems for scientists and engineers with an interest in the interdisciplinary field of systems and control theory. The reader will benefit from the expert participants’ ideas on important open problems with contributions that represent the state of the art in nonlinear control.
Author : Yvette Kosmann-Schwarzbach,Basil Grammaticos,K. M. Tamizhmani
Publisher : Unknown
Page : 348 pages
File Size : 50,9 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 366214431X
Author : Casti
Publisher : Academic Press
Page : 260 pages
File Size : 48,8 Mb
Release : 1985-02-21
Category : Computers
ISBN : 9780080958651
Nonlinear System Theory
Author : H D I Abarbanel,M I Rabinovich,M M Sushchik
Publisher : World Scientific
Page : 168 pages
File Size : 48,6 Mb
Release : 1993-06-23
Category : Science
ISBN : 9789814504126
This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the physicist study nonlinear systems and leave the comfortable territory of linearity? How can one progress in the study of nonlinear systems both in the analysis of these systems and in learning about new systems from observing their experimental behavior? While it is impossible to answer these questions in the finest detail, this series of lectures nonetheless successfully points the way for the interested reader. Other useful problems have also been incorporated as a study guide. By presenting both substantial qualitative information about phenomena in nonlinear systems and at the same time sufficient quantitative material, the author hopes that readers would learn how to progress on their own in the study of such similar material hereon. Contents:IntroductionNonlinear Oscillator without DissipationEquilibrium States of a Nonlinear Oscillator with DissipationOscillations in Systems with Nonlinear Dissipation-GeneratorsThe Van der Pol GeneratorThe Poincaré MapSlow and Fast Motions in Systems with One Degree of FreedomForced Nonlinear Oscillators: Linear and Nonlinear ResonancesForced Generator: SynchronizationCompetition of ModesPoincaré Indices and Bifurcations of Equilibrium StatesResonance Interactions between OscillatorsSolitonsSteady Propagation of Shock WavesFormation of Shock WavesSolitons. Shock Waves. Wave Interaction. The Spectral ApproachWeak Turbulence. Random Phase ApproximationRegular Patterns in Dissipative MediaDeterministic Chaos. Qualitative DescriptionDescription of a Circuit with Chaos. Chaos in MapsBifurcations of Periodic Motions. Period DoublingControlled Nonlinear Oscillator. IntermittencyScenarios of the Onset of Chaos. Chaos through Quasi-PeriodicityCharacteristics of Chaos. Experimental Observation of ChaosMultidimensional Chaos. Discrete Ginzburg-Landau ModelProblems to Accompany the Lectures Readership: Physicists. keywords: “These lecture notes briefly introduce the reader to new ideas, so would be a useful addition to a library or a source of ideas for lectures or projects; a good student may also find this text useful as a quick introduction to many new ideas.” Contemporary Physics “Introduction to Nonlinear Dynamics for Physicists … is a compact and fairly terse high-level set of 24 lectures.” New Scientist
Author : Anonim
Publisher : Unknown
Page : 22 pages
File Size : 41,9 Mb
Release : 1993
Category : GAUSS (Computer program)
ISBN : OCLC:965390892
Solves systems of nonlinear equations having as many equations as unknowns.
Author : Bijoy Ghosh,Clyde F. Martin,Yishao Zhou
Publisher : Springer Science & Business Media
Page : 288 pages
File Size : 55,8 Mb
Release : 2009-10-06
Category : Technology & Engineering
ISBN : 9783642036262
Papers in this collection partly represent the set of talks that were presented at Texas Tech University on the occasion of Daya’s memorial workshop in the year 2007. Daya had a varied interest in the field of Dynamics and Control Theory and the papers bring out the essence of his involvement in these activities. He also had a large number of collaborators and this collection represent a good fraction of them. The papers included here cover his interest in control theory. Also included are papers from application areas that we believe are of strong interest to him.
Author : V. Lakshmikantham,S. Leela,Anatoliĭ Andreevich Martyni︠u︡k
Publisher : CRC Press
Page : 344 pages
File Size : 50,9 Mb
Release : 1988-11-29
Category : Mathematics
ISBN : 0824780671
Investigates stability theory in terms of two different measures, treats the theory of a variety of inequalities, and demonstrates manifestations of the general Lyapunov method. Also covers the importance of utilizing different forms of nonlinear variation of parametric formulae, constructive method