Stability domains

Lyubomir T. Gruyitch, Jean-Pierre Richard, Pierre Borne, Jean-Claude Gentina

336 pages, parution le 15/12/2003

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Résumé

Stability Domains is an up-to-date account of stability theory with particular emphasis on stability domains. Beyond the fundamental basis of the theory of dynamical systems, it includes recent developments in the classical Lyapunov stability concept, practical stabiliy properties, and a new Lyapunov methodology for nonlinear systems. It also introduces classical Lyapunov and practical stability theory for time-invariant nonlinear systems in general and for complex (interconnected, large scale) nonlinear dynamical systems in particular. This is a complete treatment of the theory of stability domains useful for postgraduates and researchers working in this area of applied mathematics and engineering.

L'auteur - Lyubomir T. Gruyitch

Professor at the university of Technology, Belfort Montbeliard, France.

L'auteur - Jean-Pierre Richard

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L'auteur - Pierre Borne

Master degree in Physics, Electronics, Mechanics and Applied Mathematics Graduate Engineer from the IDN (Institut Industriel du Nord) Lille,France Ph.D. in Automatic control and Physics (University of Lille France)

Position: Professor at the "Ecole Centrale de Lille" (France), Dr. Borne is Director of Research and head of the Automatic Control Department of this institution. Complementary information: Dr. Borne has been nominated IEEE fellow in 1996. He received the Norbert Wiener Award from IEEE/SMC in 1998. Founder and president of the SMC Technical committee "Mathematical modelling" from 1993 to1997, he is presently president of the "System area" SMC committee. He has been IMACS vice-president from 1988 to 1994; he is chairman of the IMACS Technical Committee on "Robotics and Control System" and in 1997 he has been nominated Honorary member of the IMACS board of directors.

Field of publication: Automatic control, robust control including implementation of fuzzy logic, neural nets and genetic algorithms

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Sommaire

Preface
Notations
General introduction
Introductory comments on stability concepts
Stability domain concepts
Qualitative features of stability domains properties
Foundations of the Lyapunov method
Novel development of the Lyapunov method
Foundations of practical stability domains
Comparison systems and vector norm-based Lyapunov functions
References
Author index
Subject index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Chapman and Hall / CRC
Auteur(s)	Lyubomir T. Gruyitch, Jean-Pierre Richard, Pierre Borne, Jean-Claude Gentina
Parution	15/12/2003
Nb. de pages	336
Format	16 x 24,5
Couverture	Relié
Poids	600g
Intérieur	Noir et Blanc
EAN13	9780415308489
ISBN13	978-0-415-30848-9