Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities Vladimir A. Yakubovich

ISBN: 9789812387196

Published: March 2nd 2004

Hardcover

352 pages


Description

Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities  by  Vladimir A. Yakubovich

Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities by Vladimir A. Yakubovich
March 2nd 2004 | Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 352 pages | ISBN: 9789812387196 | 5.73 Mb

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.MoreThis 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. Contents: Foundations of Theory of Differential Equations with Discontinuous Right-Hand Sides- Auxiliary Algebraic Statements on Solutions of Matrix Inequalities of a Special Type- Dichotomy and Stability of Nonlinear Systems with Multiple Equilibria- Stability of Equilibria Sets of Pendulum-Like Systems.



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