Stability of Dynamical Systems

The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems. Presents comprehensive theory and methodology of stability analysis Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers

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  • Author : Xiaoxin Liao
  • Publisher : Elsevier
  • Pages : 718 pages
  • ISBN : 9780080550619
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKStability of Dynamical Systems

Stability of Dynamical Systems

Stability of Dynamical Systems
  • Author : Xiaoxin Liao,L.Q. Wang,P. Yu
  • Publisher : Elsevier
  • Release : 01 August 2007
GET THIS BOOKStability of Dynamical Systems

The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle,

The Stability of Dynamical Systems

The Stability of Dynamical Systems
  • Author : J. P. LaSalle
  • Publisher : SIAM
  • Release : 25 January 1976
GET THIS BOOKThe Stability of Dynamical Systems

An introduction to aspects of the theory of dynamial systems based on extensions of Liapunov's direct method. The main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential equations. The latest results on invariance properties for non-autonomous time-varying systems processes are presented for difference and differential equations.

Stability Theory of Dynamical Systems

Stability Theory of Dynamical Systems
  • Author : N.P. Bhatia,G.P. Szegö
  • Publisher : Springer Science & Business Media
  • Release : 10 January 2002
GET THIS BOOKStability Theory of Dynamical Systems

Reprint of classic reference work. Over 400 books have been published in the series Classics in Mathematics, many remain standard references for their subject. All books in this series are reissued in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers. "... The book has many good points: clear organization, historical notes and references at the end of every chapter, and an excellent bibliography. The text is well-written, at a level appropriate for the

Stability of Dynamical Systems

Stability of Dynamical Systems
  • Author : Anthony N. Michel,Ling Hou,Derong Liu
  • Publisher : Springer
  • Release : 30 March 2015
GET THIS BOOKStability of Dynamical Systems

The second edition of this textbook provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems. For these system models, it presents results which comprise the classical Lyapunov stability theory involving monotonic Lyapunov functions, as well as corresponding contemporary stability results involving non-monotonic Lyapunov functions. Specific examples from several diverse areas are given to demonstrate the applicability of the developed theory to many important classes of

Stability of Dynamical Systems

Stability of Dynamical Systems
  • Author : Anthony N. Michel,Ling Hou,Derong Liu
  • Publisher : Springer Science & Business Media
  • Release : 25 January 2022
GET THIS BOOKStability of Dynamical Systems

Filling a gap in the literature, this volume offers the first comprehensive analysis of all the major types of system models. Throughout the text, there are many examples and applications to important classes of systems in areas such as power and energy, feedback control, artificial neural networks, digital signal processing and control, manufacturing, computer networks, and socio-economics. Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for

Global Stability of Dynamical Systems

Global Stability of Dynamical Systems
  • Author : Michael Shub
  • Publisher : Springer Science & Business Media
  • Release : 17 April 2013
GET THIS BOOKGlobal Stability of Dynamical Systems

These notes are the result of a course in dynamical systems given at Orsay during the 1976-77 academic year. I had given a similar course at the Gradu ate Center of the City University of New York the previous year and came to France equipped with the class notes of two of my students there, Carol Hurwitz and Michael Maller. My goal was to present Smale's n-Stability Theorem as completely and compactly as possible and in such a way that

Global Stability of Dynamical Systems

Global Stability of Dynamical Systems
  • Author : Michael Shub,A. Fathi,R. Langevin
  • Publisher : Springer Science & Business Media
  • Release : 25 January 1987
GET THIS BOOKGlobal Stability of Dynamical Systems

These notes are the result of a course in dynamical systems given at Orsay during the 1976-77 academic year. I had given a similar course at the Gradu ate Center of the City University of New York the previous year and came to France equipped with the class notes of two of my students there, Carol Hurwitz and Michael Maller. My goal was to present Smale's n-Stability Theorem as completely and compactly as possible and in such a way that

Lyapunov Stability of Non-Autonomous Dynamical Systems

Lyapunov Stability of Non-Autonomous Dynamical Systems
  • Author : David N. Cheban
  • Publisher : Nova Science Pub Incorporated
  • Release : 01 January 2013
GET THIS BOOKLyapunov Stability of Non-Autonomous Dynamical Systems

The foundation of the modern theory of stability was created in the works of A. Poincare and A.M. Lyapunov. The theory of the stability of motion has gained increasing significance in the last decade as is apparent from the large number of publications on the subject. A considerable part of these works are concerned with practical problems, especially problems from the area of controls and servo-mechanisms, and concrete problems from engineering, which first gave the decisive impetus for the

Stability and Control of Dynamical Systems with Applications

Stability and Control of Dynamical Systems with Applications
  • Author : Derong Liu,Panos J. Antsaklis
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKStability and Control of Dynamical Systems with Applications

It is with great pleasure that I offer my reflections on Professor Anthony N. Michel's retirement from the University of Notre Dame. I have known Tony since 1984 when he joined the University of Notre Dame's faculty as Chair of the Depart ment of Electrical Engineering. Tony has had a long and outstanding career. As a researcher, he has made im portant contributions in several areas of systems theory and control theory, espe cially stability analysis of large-scale dynamical systems. The

Stability Theory of Switched Dynamical Systems

Stability Theory of Switched Dynamical Systems
  • Author : Zhendong Sun,Shuzhi Sam Ge
  • Publisher : Springer Science & Business Media
  • Release : 06 January 2011
GET THIS BOOKStability Theory of Switched Dynamical Systems

There are plenty of challenging and interesting problems open for investigation in the field of switched systems. Stability issues help to generate many complex nonlinear dynamic behaviors within switched systems. The authors present a thorough investigation of stability effects on three broad classes of switching mechanism: arbitrary switching where stability represents robustness to unpredictable and undesirable perturbation, constrained switching, including random (within a known stochastic distribution), dwell-time (with a known minimum duration for each subsystem) and autonomously-generated (with a pre-assigned

Stability of Dynamical Systems

Stability of Dynamical Systems
  • Author : Anthony N. Michel,Ling Hou,Derong Liu
  • Publisher : Unknown Publisher
  • Release : 25 January 2022
GET THIS BOOKStability of Dynamical Systems

The second edition of this textbook provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems. For these system models, it presents results which comprise the classical Lyapunov stability theory involving monotonic Lyapunov functions, as well as corresponding contemporary stability results involving non-monotonicLyapunov functions.Specific examples from several diverse areas are given to demonstrate the applicability of the developed theory to many important classes of systems,