Lyapunov functions for infinite-dimensional systems

DOI10.1006/jfan.2001.3910zbMath1040.93062OpenAlexW1996167845MaRDI QIDQ1849050

Pierpaolo Soravia, Maciej Kocan

Publication date: 28 November 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3910

zbMATH Keywords

stabilityoptimalityLyapunov functionsHamilton-Jacobi equationsnonlinear semigroupsmonotone operatorsaccretive operatorsviscosity solutionsinfinite-dimensional dynamical systems

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Lyapunov and storage functions (93D30) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25)

Related Items (11)

Lyapunov functions for evolution variational inequalities with uniformly prox-regular sets ⋮ Nonsmooth Lyapunov pairs for differential inclusions governed by operators with nonempty interior domain ⋮ Invariant sets and Lyapunov pairs for differential inclusions with maximal monotone operators ⋮ Lyapunov stability of differential inclusions with Lipschitz Cusco perturbations of maximal monotone operators ⋮ Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions ⋮ Singular Lyapunov operator equations: applications to \(C^*\)-algebras, Fréchet derivatives and abstract Cauchy problems ⋮ Lyapunov pairs for multi-valued semi-linear evolutions ⋮ Characterization of Lyapunov pairs in the nonlinear case and applications ⋮ Lyapunov pairs for continuous perturbations of nonlinear evolutions ⋮ Lyapunov pairs in semilinear differential problems with state-dependent impulses ⋮ Lyapunov stability of differential inclusions involving prox-regular sets via maximal monotone operators

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