Lyapunov functions for second-order differential inclusions: A viability approach

DOI10.1006/jmaa.2001.7583zbMath0997.34054OpenAlexW1969702143MaRDI QIDQ5952270

José Alberto Murillo, Luis Marco

Publication date: 10 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0f865e1a373dacca7852140ad5b08937c65c969d

zbMATH Keywords

differential inclusionsLyapunov functionssecond-order epiderivative of a functionviability theory

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Functional-differential equations in abstract spaces (34K30) Evolution inclusions (34G25) Stability of solutions to ordinary differential equations (34D20) Global stability of solutions to ordinary differential equations (34D23)

Related Items (8)

Transversality condition and optimization of higher order ordinary differential inclusions ⋮ On duality in second-order discrete and differential inclusions with delay ⋮ Optimal control of higher order differential inclusions with functional constraints ⋮ Approximation and optimization of higher order discrete and differential inclusions ⋮ Optimal control of higher order differential inclusions of Bolza type with varying time interval ⋮ Optimization of Mayer problem with Sturm-Liouville-type differential inclusions ⋮ Optimization of third-order discrete and differential inclusions described by polyhedral set-valued mappings ⋮ Optimization of higher-order differential inclusions with special boundary value conditions

Cites Work

• Théorèmes de viabilité pour les inclusions différentielles du second ordre. (Existence theorem for second order differential inclusions)
• Viability theorems for higher-order differential inclusions
• Second order viability problems for differential inclusions
• Measurable viability theorems and the Hamilton-Jacobi-Bellman equation
• Viability Problems for Nonautonomous Differential Inclusions
• Variational Analysis
• A measurable upper semicontinuous viability theorem for tubes
• Set-valued analysis
• Viability theory
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