The state constrained bilateral minimal time function

DOI10.1016/j.na.2007.09.046zbMath1152.49040OpenAlexW2035576819MaRDI QIDQ955662

Ronald J. Stern, Chadi Nour

Publication date: 20 November 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.09.046

zbMATH Keywords

nonsmooth analysisHamilton-Jacobi equationsproximal analysisbilateral minimal time functionsmall time controllabilitystate constrainedunilateral minimal time function

Mathematics Subject Classification ID

Controllability (93B05) Regularity of solutions in optimal control (49N60)

Related Items (6)

Hamilton-Jacobi-Bellman equations for optimal control processes with convex state constraints ⋮ Hamilton–Jacobi–Bellman Equations ⋮ One-sided Perron differential inclusions ⋮ Infinite horizon problems on stratifiable state-constraints sets ⋮ Variational Analysis for the Bilateral Minimal Time Function ⋮ Semiconcavity of the bilateral minimal time function: the linear case

Cites Work

• Regularity of the state constrained minimal time function
• The Bellman equation for time-optimal control of noncontrollable, nonlinear systems
• Hölder continuity of the minimum-time function for \(C^ 1\)-manifold targets
• Lipschitz continuity of the value function in optimal control
• On nonconvex differential inclusions whose state is constrained in the closure of an open set. Applications to dynamic programming
• Convexity properties of the minimum time function
• Control of systems to sets and their interiors
• Filippov's and Filippov-Ważewski's theorems on closed domains
• On the Bellman function for the time-optimal process problem
• Semigeodesics and the minimal time function
• Optimal Control with State-Space Constraint I
• The Hamiltonian–Jacobi–Bellman Equation for Time-Optimal Control
• Discontinuous viscosity solutions to dirichlet problems for hamilton-jacob1 equations with
• Proximal Analysis and the Minimal Time Function
• Feedback in state constrained optimal control
• Characterization of the State Constrained Minimal Time Function
• Pursuit–Evasion Problems and Viscosity Solutions of Isaacs Equations
• A Boundary Value Problem for the Minimum-Time Function
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
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