Nearly Optimal Patchy Feedbacks for Minimization Problems with Free Terminal Time

Abstract

The paper is concerned with a general optimization problem for a nonlinear control system, in the presence of a running cost and a terminal cost, with free terminal time. We prove the existence of a patchy feedback whose trajectories are all nearly optimal solutions, with pre-assigned accuracy.

13 pages, 3 figures. in v2: Fixed few misprints

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