Remarks regarding the gap between continuous, Lipschitz, and differentiable storage functions for dissipation inequalities appearing in \(H_{\infty}\) control

DOI10.1016/S0167-6911(00)00060-8zbMath0980.93072arXivmath/9912007OpenAlexW1965593835MaRDI QIDQ1589493

Eduardo D. Sontag, Lionel Rosier

Publication date: 12 December 2000

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9912007

zbMATH Keywords

stabilityregularization\(H_\infty\) controlLyapunov functionsHamilton-Jacobi inequalityviscosity solutionscounterexamplesregularity of solutionsdissipation inequalitiesstorage functions

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Data smoothing in stochastic control theory (93E14) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (2)

An invariance kernel representation of ISDS Lyapunov functions ⋮ Discussion on: ``Stabilization and disturbance attenuation of nonlinear systems using dissipativity theory

Cites Work

• Dissipative dynamical systems: basic input-output and state properties
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