On \(\varepsilon\)-optimal controls for state constraint problems

DOI10.1016/S0294-1449(00)00114-1zbMath0969.49019OpenAlexW2044915854MaRDI QIDQ1591443

Hitoshi Ishii, Shigeaki Koike

Publication date: 1 October 2001

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2000__17_4_473_0

zbMATH Keywords

optimal controlHamilton-Jacobi-Bellman equationinfinite horizonviscosity solutionvalue functionsub-optimal feedback control

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Optimal feedback synthesis (49N35) Nonsmooth analysis (49J52) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (3)

On the construction of nearly time optimal continuous feedback laws around switching manifolds ⋮ Feedback in state constrained optimal control ⋮ Nearly time optimal stabilizing patchy feedbacks

Cites Work

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• Viscosity solutions of Hamilton-Jacobi equations
• Asymptotic controllability implies feedback stabilization
• On the state constraint problem for differential games
• A New Formulation of State Constraint Problems for First-Order PDEs
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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