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Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems. II

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Publication:1089297
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zbMath0618.93051MaRDI QIDQ1089297

Alexander Molchanov, Eh. S. Pyatnitskij

Publication date: 1986

Published in: Automation and Remote Control (Search for Journal in Brave)


zbMATH Keywords

time-dependent


Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20) Control/observation systems governed by ordinary differential equations (93C15)


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Piecewise Lyapunov functions for robust stability of linear time-varying systems, Generalized Markov-Bernstein inequalities and stability of dynamical systems, On universal classes of Lyapunov functions for linear switched systems, Stability results for linear parameter varying and switching systems, Criteria of asymptotic stability of differential and difference inclusions encountered in control theory, A smooth Lyapunov function from a class-${\mathcal{KL}}$ estimate involving two positive semidefinite functions, Classical converse theorems in Lyapunov's second method



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