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Stability of Stationary Sets in Control Systems With Discontinuous Nonlinearities
Stability of Stationary Sets in Control Systems With Discontinuous Nonlinearities 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. 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. Please select one mirror to download
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Sponsored LinksStability of Stationary Sets in Control Systems With Discontinuous Nonlinearities Keywordssystems stability discontinuous sets matrix theory differential nonlinear equilibria stationary nonlinearities inequalities phase locked networks loops synchronous circuits friction electrical cellular neural right hand solutions discontinuous nonlinearities matrix inequalities tools developed yakubovich lemma kalman yakubovich frequency domain approach differential inclusionsBookmark Stability of Stationary Sets in Control Systems With Discontinuous NonlinearitiesHyperlink code:
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