On asymptotic exit-time control problems lacking coercivity

DOI10.1051/cocv/2014003zbMath1301.49006OpenAlexW1986631534MaRDI QIDQ2926562

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Publication date: 31 October 2014

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2014003

zbMATH Keywords

viscosity solutionsasymptotic controllabilityimpulsive optimal control problemsexit-time control problems

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Controllability (93B05) Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Regularity of solutions in optimal control (49N60) Existence theories for optimal control problems involving ordinary differential equations (49J15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Impulsive optimal control problems (49N25)

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HJ inequalities involving Lie brackets and feedback stabilizability with cost regulation ⋮ A geometrically based criterion to avoid infimum gaps in optimal control ⋮ Lack of BV bounds for impulsive control systems ⋮ On \(\mathcal L^1\) limit solutions in impulsive control ⋮ Normality and gap phenomena in optimal unbounded control ⋮ Stabilizability in optimal control ⋮ The value function of an asymptotic exit-time optimal control problem ⋮ Stabilizability in optimization problems with unbounded data ⋮ Minimum time problem with impulsive and ordinary controls ⋮ Converse Lyapunov theorems for control systems with unbounded controls ⋮ Nondegenerate Abnormality, Controllability, and Gap Phenomena in Optimal Control with State Constraints ⋮ Asymptotic problems in optimal control with a vanishing Lagrangian and unbounded data

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