Uniqueness of Lower Semicontinuous Viscosity Solutions for the Minimum Time Problem

DOI10.1137/S0363012997317190zbMath0949.49020OpenAlexW1980770951MaRDI QIDQ4943731

Olivier Alvarez, Isao Nakayama, Shigeaki Koike

Publication date: 19 March 2000

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012997317190

zbMATH Keywords

dynamic programming principleminimum time problemsemicontinuous 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) Boundary value problems for nonlinear first-order PDEs (35F30)

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Subdifferential properties for a class of minimal time functions with moving target sets in normed spaces ⋮ Subdifferentials of a minimal time function in normed spaces ⋮ Existence of solutions to a global eikonal equation ⋮ Infimal convolution and optimal time control problem. II: Limiting subdifferential ⋮ Infimal convolution and optimal time control problem. I: Fréchet and proximal subdifferentials ⋮ Envelope viscosity solutions of first- and second-order PDEs with u-dependence ⋮ Subdifferential properties of the minimal time function of linear control systems ⋮ Subdifferentials of a minimum time function in Banach spaces ⋮ Semigeodesics and the minimal time function

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