Lower semicontinuous solutions of the Bellman equation for the minimum time problem

DOI10.1007/BF02193056zbMath0826.49020MaRDI QIDQ1896571

G. Pieri, F. Mignanego, Ovidiu Cârjǎ

Publication date: 20 November 1995

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

zbMATH Keywords

Hamilton-Jacobi-Bellman equationBellman equationnonlinear control systemminimum time problemKruzkov transformationlower semicontinuous viscosity solutions

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (2)

Lower semicontinuous solutions for a class of Hamilton-Jacobi-Bellman equations ⋮ Contingent solutions for the Bellmann equation in infinite dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• On a generalized Bellman equation for the optimal-time problem
• On the sufficiency of the Hamilton-Jacobi-Bellman equation for optimality of the controls in a linear optimal-time problem
• Minimal time function and viscosity solutions
• Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation
• The Bellman equation for time-optimal control of noncontrollable, nonlinear systems
• Minimal-time functions in problems without local controllability
• Functional analysis and time optimal control
• Semicontinuous Viscosity Solutions For Hamilton–Jacobi Equations With Convex Hamiltonians
• Optimal Control and Semicontinuous Viscosity Solutions
• The Hamiltonian–Jacobi–Bellman Equation for Time-Optimal Control
• Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations
• A Boundary Value Problem for the Minimum-Time Function

This page was built for publication: Lower semicontinuous solutions of the Bellman equation for the minimum time problem