The Bellman equation for time-optimal control of noncontrollable, nonlinear systems
The authors consider time optimal control for nonlinear systems which are not small time locally controllable around the target set. Here, in particular, the optimal value function is not continuous. In order to get unique solutions, a transformation is applied giving a Hamilton-Jacobi equation which is analyzed using the methods of viscosity solutions. Applications to verification theorems and to the stability of the minimum time function with respect to perturbations are given.
scientific article; zbMATH DE number 465045
scientific article