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SYSTEMES DIFFERENTIELS --- EQUATIONS DIFFERENTIELLES LINEAIRES --- STABILITE --- COEFFICIENTS PERIODIQUES --- SYSTEMES DIFFERENTIELS --- EQUATIONS DIFFERENTIELLES LINEAIRES --- STABILITE --- COEFFICIENTS PERIODIQUES

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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

Control theory. --- Nonlinear control theory. --- Set theory. --- System analysis. --- Differential equations, Nonlinear. --- Engineering mathematics. --- Engineering systems. --- Engineering --- Engineering analysis --- Mathematical analysis --- Nonlinear differential equations --- Nonlinear theories --- Network analysis --- Network science --- Network theory --- Systems analysis --- System theory --- Mathematical optimization --- Aggregates --- Classes (Mathematics) --- Ensembles (Mathematics) --- Mathematical sets --- Sets (Mathematics) --- Theory of sets --- Logic, Symbolic and mathematical --- Mathematics --- Control theory --- Dynamics --- Machine theory