Smooth Lyapunov functions for discontinuous stable systems

DOI10.1023/A:1008758007170zbMath0958.34040OpenAlexW2115500225MaRDI QIDQ1570039

Lionel Rosier

Publication date: 9 April 2001

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008758007170

zbMATH Keywords

stabilityregularitydifferential inclusionsLyapunov functions

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Input-output approaches in control theory (93D25) Ordinary differential inclusions (34A60) Stability of solutions to ordinary differential equations (34D20)

Related Items (4)

Numerical design of Lyapunov functions for a class of homogeneous discontinuous systems ⋮ A converse Lyapunov theorem for non-uniform in time, global exponential robust stability ⋮ Remarks regarding the gap between continuous, Lipschitz, and differentiable storage functions for dissipation inequalities appearing in \(H_{\infty}\) control ⋮ Regularity of Liapunov functions for stable systems

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