Description

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.

Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities

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Hardback by Gennady A Leonov , Vladimir A Yakubovich

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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... Read more

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 03/03/2004
    ISBN13: 9789812387196, 978-9812387196
    ISBN10: 9812387196

    Number of Pages: 352

    Non Fiction , Mathematics & Science , Education

    Description

    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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