Linear programming based Lyapunov function computation for differential inclusions

DOI10.3934/dcdsb.2012.17.33zbMath1235.93222OpenAlexW2017710010MaRDI QIDQ764996

Robert Baier, Lars Grüne, Sigurður Freyr Hafstein

Publication date: 19 March 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.33

zbMATH Keywords

differential inclusionsLyapunov functionsinvariance principleswitched systemsstability of nonlinear systemspiecewise affine functionsnumerical construction of Lyapunov functions

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20) Ordinary differential inclusions (34A60) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36)

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