Stability of Stationary Sets in Control Systems With Discontinuous Nonlinearities - Couverture rigide

Leonov, Gennady A; Yakubovich, Vladimir A; Gelig, Arkadii Kh

Couverture rigide

ISBN 10 : 9812387196 ISBN 13 : 9789812387196

Editeur : World Scientific Publishing Co Pte Ltd, 2004

Synopsis

This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method. Various versions of the Kalman-Yakubovich lemma on solvability of matrix inequalities are presented and discussed in detail. It is shown how the tools developed can be applied to stability investigations of relay control systems, gyroscopic systems, mechanical systems with a Coulomb friction, nonlinear electrical circuits, cellular neural networks, phase-locked loops, and synchronous machines.

A propos du livre

Présentation de l'éditeur

“This book is well worth acquiring, not only for reading in English V A Yakubovich explaining the topics which made him famous, but also as a reference for results when this area is extended to differential inclusions.” Zentralblatt Math “. . . there are many interesting comments and pointers to references concerned with the history of the subject. The main results presented were original contributions of the authors. All topics are closely related to the problem of stability analysis of systems having discontinuous nonlinearities, based on frequency-domain methods . . . The reviewer recommends this book: first, to mathematicians interested in control theory and, second, to researchers interested in systems having nonsmooth nonlinearities and their technical applications.”(See full review) Ieee Transactions on Automatic Control This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method. Various versions of the Kalman–Yakubovich lemma on solvability of matrix inequalities are presented and discussed in detail. It is shown how the tools developed can be applied to stability investigations of relay control systems, gyroscopic systems, mechanical systems with a Coulomb friction, nonlinear electrical circuits, cellular neural networks, phase-locked loops, and synchronous machines.

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2004
• Langue: anglais
• ISBN 10: 9812387196
• ISBN 13: 9789812387196
• Reliure: Relié
• Nombre de pages: 352
• Coordonnées du fabricant: Buchpark GmbH; https://www.buchpark.de; ; Krügerweg 1; Trebbin; Brandenburg; 14959; Allemagne