Stability of Dynamical Systems

• Author : Xiaoxin Liao,L.Q. Wang,P. Yu
• Publisher : Elsevier
• Release : 01 August 2007

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,

• Author : Jacques Leopold Willems
• Publisher : Unknown
• Release : 07 June 1970

• Author : J. P. LaSalle
• Publisher : SIAM
• Release : 01 January 1976

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.

• Author : N.P. Bhatia,G.P. Szegö
• Publisher : Springer Science & Business Media
• Release : 10 January 2002

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

• Author : Wassim M. Haddad,Sergey G. Nersesov
• Publisher : Princeton University Press
• Release : 04 December 2011

Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of technological, environmental, and social phenomena. This book develops stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems.

• Author : Nam P. Bhatia,George P. Szegö
• Publisher : Springer
• Release : 14 November 2006

• Author : Anthony N. Michel,Ling Hou,Derong Liu
• Publisher : Springer Science & Business Media
• Release : 07 June 2023

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

• Author : Jihoon Lee,Carlos Morales
• Publisher : Springer Nature
• Release : 30 October 2022

This monograph presents new insights into the perturbation theory of dynamical systems based on the Gromov-Hausdorff distance. In the first part, the authors introduce the notion of Gromov-Hausdorff distance between compact metric spaces, along with the corresponding distance for continuous maps, flows, and group actions on these spaces. They also focus on the stability of certain dynamical objects like shifts, global attractors, and inertial manifolds. Applications to dissipative PDEs, such as the reaction-diffusion and Chafee-Infante equations, are explored in the

• Author : Derong Liu,Panos J. Antsaklis
• Publisher : Springer Science & Business Media
• Release : 06 December 2012

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

• Author : Nam Parshad Bhatia
• Publisher : Unknown
• Release : 07 June 2023

• Author : Anonim
• Publisher : CRC Press
• Release : 17 November 1998

Several distinctive aspects make Dynamical Systems unique, including: treating the subject from a mathematical perspective with the proofs of most of the results included providing a careful review of background materials introducing ideas through examples and at a level accessible to a beginning graduate student

• Author : Nam P. Bhatia,George P. Szego
• Publisher : Unknown
• Release : 15 January 2014

• Author : Zhendong Sun,Shuzhi Sam Ge
• Publisher : Springer Science & Business Media
• Release : 06 January 2011

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

• Author : A.A. Martynyuk,Yu. A. Martynyuk-Chernienko
• Publisher : CRC Press
• Release : 28 November 2011

This self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations. Each chapter contains new conditions of stability of unperturbed motion of the abo

• Author : Nam Parshad Bathia,Giorgio P. Szegó
• Publisher : Unknown
• Release : 07 June 2023