title: An optimal control algorithm based on reachability set approximation and linearization
abstract: The terminal functional of a general control system is refined by studying an analogous problem for a variational system and regularization. A sequential refinement method is designed by combining the local approximation of the reachability set and reduction. The corresponding algorithm has relaxation properties. An illustrative example is given
keyphrases: optimal control algorithm reachability set approximation linearization terminal functional variational system regularization sequential refinement method local approximation relaxation properties determinate systems