Switched systems, Lur'e systems, absolute stability, Aizerman problem

DOI10.1134/S0005117919080010zbMath1431.93035OpenAlexW2969067899MaRDI QIDQ2289028

V. A. Kamenetskiy

Publication date: 28 January 2020

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

Full work available at URL: https://doi.org/10.1134/s0005117919080010

zbMATH Keywords

stabilityLyapunov functionsmatrix inequalitiesswitched systemsLur'e systemsAizerman problem

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (6)

On the existence of a common Lyapunov function for a family of nonlinear positive systems ⋮ Linear matrix inequalities in control systems with uncertainty ⋮ Matrix inequalities in the stability theory: new results based on the convolution theorem ⋮ Absolute stability of switched Lurie systems via dwell time switching ⋮ Absolute exponential stability of switching Lurie systems with time-varying delay via dwell time switching ⋮ Discrete-time pairwise connected switched systems and Lur'e systems. Tsypkin's criterion for systems with two nonlinearities

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