Stability of Dynamical Systems: On the Role of Monotonic and Non-monotonic Lyapunov Functions - Couverture souple

Livre 41 sur 55: Systems & Control: Foundations & Applications

Michel, Anthony N.; Hou, Ling; Liu, Derong

 
9783319330808: Stability of Dynamical Systems: On the Role of Monotonic and Non-monotonic Lyapunov Functions
Couverture souple
ISBN 10 : 3319330802 ISBN 13 : 9783319330808
Editeur : Birkhauser Verlag AG, 2016

Synopsis

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 systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, and artificial neural networks.

The authors cover 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 involving monotonic and non-monotonic Lyapunov functions

- Specialization of this stability theory to finite-dimensional dynamical systems

- Specialization of this stability theory to infinite-dimensional dynamical systems

Replete with examples and requiring only a basic knowledge of linear algebra, analysis, and differential equations, this book can be used as a textbook for graduate courses in stability theory of dynamical systems. It may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, economics, and the physical and life sciences.

Review of the First Edition:

"The authors have done an excellent job maintaining the rigor of the presentation, and in providing standalone statements for diverse types of systems. [This] is a very interesting book which complements the existing literature. [It] is clearly written, and difficult concepts are illustrated by means of good examples."

- Alessandro Astolfi, IEEE Control Systems Magazine, February 2009

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Anthony N. Michel, PhD, is Professor Emeritus in the College of Engineering at the University of Notre Dame.

Ling Hou, PhD, is Professor in the Department of Electrical and Computer Engineering at St. Cloud State University.

Derong Liu, PhD, is Professor in the Department of Electrical and Computer Engineering at the University of Illinois at Chicago.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Birkhauser Verlag AG
Date d'édition
2016
Langue
anglais
ISBN 10 
3319330802
ISBN 13 
9783319330808
Reliure
Broché
Nombre de pages
671
Coordonnées du fabricant
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783319152745: Stability of Dynamical Systems: On the Role of Monotonic and Non-Monotonic Lyapunov Functions

Edition présentée

ISBN 10 :  3319152742 ISBN 13 :  9783319152745
Editeur : Birkhauser Verlag AG, 2015
Couverture rigide