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Cover image for Stability of stationary sets in control systems with discontinuous nonlinearities
Title:
Stability of stationary sets in control systems with discontinuous nonlinearities
Series:
Series on stability, vibration and control systems. Series A ; 14
Publication Information:
River Edge, NJ : World Scientific, 2004
ISBN:
9789812387196

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30000010138661 QA402.3 I24 2004 Open Access Book Book
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Summary

Summary

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.


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