Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities
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A01=Arkadii Kh Gelig
A01=Gennady A Leonov
A01=Vladimir A Yakubovich
Author_Arkadii Kh Gelig
Author_Gennady A Leonov
Author_Vladimir A Yakubovich
Category=PBKJ
Differential Inclusions
Discontinuous Systems
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Kalman-Yakubovich Lemma
Lyapunov Methods
Matrix Inequalities
Nonsmooth Dynamical Systems
Nonsmooth Mechanics
Power Systems
Product details
- ISBN 9789812387196
- Publication Date: 03 Mar 2004
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
