Stability of Dynamical Systems

Stability of Dynamical Systems
Author :
Publisher : Springer Science & Business Media
Total Pages : 516
Release :
ISBN-10 : 9780817644864
ISBN-13 : 0817644865
Rating : 4/5 (64 Downloads)

Book Synopsis Stability of Dynamical Systems by :

Download or read book Stability of Dynamical Systems written by and published by Springer Science & Business Media. This book was released on 2008 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly complex models that may simultaneously include components whose states evolve along continuous time and discrete instants; components whose descriptions may exhibit nonlinearities, time lags, transportation delays, hysteresis effects, and uncertainties in parameters; and components that cannot be described by various classical equations, as in the case of discrete-event systems, logic commands, and Petri nets. The qualitative analysis of such systems requires results for finite-dimensional and infinite-dimensional systems; continuous-time and discrete-time systems; continuous continuous-time and discontinuous continuous-time systems; and hybrid systems involving a mixture of continuous and discrete dynamics. Filling a gap in the literature, this textbook presents the first comprehensive stability analysis of all the major types of system models described above. Throughout the book, the applicability of the developed theory is demonstrated by means of many specific examples and applications to important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, artificial neural networks (with and without time delays), digital signal processing, a class of discrete-event systems (with applications to manufacturing and computer load balancing problems) and a multicore nuclear reactor model. The book covers the following four general topics: * Representation and modeling of dynamical systems of the types described above * Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces * Specialization of this stability theory to finite-dimensional dynamical systems * Specialization of this stability theory to infinite-dimensional dynamical systems Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics.


Stability of Dynamical Systems Related Books

Stability of Dynamical Systems
Language: en
Pages: 516
Authors:
Categories: Differentiable dynamical systems
Type: BOOK - Published: 2008 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly complex models that may simultaneous
Global Stability of Dynamical Systems
Language: en
Pages: 159
Authors: Michael Shub
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

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 Cente
Stability Theory of Dynamical Systems
Language: en
Pages: 252
Authors: N.P. Bhatia
Categories: Science
Type: BOOK - Published: 2002-01-10 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Reprint of classic reference work. Over 400 books have been published in the series Classics in Mathematics, many remain standard references for their subject.
Stability Theory of Switched Dynamical Systems
Language: en
Pages: 266
Authors: Zhendong Sun
Categories: Technology & Engineering
Type: BOOK - Published: 2011-01-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

There are plenty of challenging and interesting problems open for investigation in the field of switched systems. Stability issues help to generate many complex
Dynamical Systems
Language: en
Pages: 522
Authors: Clark Robinson
Categories: Mathematics
Type: BOOK - Published: 1998-11-17 - Publisher: CRC Press

DOWNLOAD EBOOK

Several distinctive aspects make Dynamical Systems unique, including: treating the subject from a mathematical perspective with the proofs of most of the result