Bardi, Martino A boundary value problem for the minimum-time function. (English) Zbl 0682.49034 SIAM J. Control Optimization 27, No. 4, 776-785 (1989). Summary: A natural boundary value problem for the dynamic programming partial differential equation associated with the minimum time problem is proposed. The minimum time function is shown to be the unique viscosity solution of this boundary value problem. Cited in 1 ReviewCited in 34 Documents MSC: 49L20 Dynamic programming in optimal control and differential games 35F30 Boundary value problems for nonlinear first-order PDEs 49K15 Optimality conditions for problems involving ordinary differential equations Keywords:time-optimal control; Hamiton-Jacobi equations; viscosity solution × Cite Format Result Cite Review PDF Full Text: DOI