Stability of solutions to Hamilton-Jacobi equations under state constraints

DOI10.1007/S10957-015-0765-1zbMath1334.49080OpenAlexW2293958989MaRDI QIDQ255065

Hayk Sedrakyan

Publication date: 9 March 2016

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-015-0765-1

zbMATH Keywords

stabilityoptimal controlstate constraintsdifferential inclusionsHamilton-Jacobi equationsviscosity solutionsBolza problem

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Set-valued and variational analysis (49J53) Set-valued functions (26E25) Ordinary differential inclusions (34A60) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (4)

Representation of Hamilton-Jacobi equation in optimal control theory with unbounded control set ⋮ State-Constraint Static Hamilton--Jacobi Equations in Nested Domains ⋮ Stable representation of convex Hamiltonians ⋮ Representation of Hamilton--Jacobi Equation in Optimal Control Theory with Compact Control Set

Cites Work

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• Viscosity Solutions of Hamilton-Jacobi Equations
• Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations
• A New Formulation of State Constraint Problems for First-Order PDEs
• Set-valued analysis
• Viability theory

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