THE MINIMAL TIME FUNCTION ASSOCIATED WITH A COLLECTION OF SETS
Abstract: We first revisit the usual minimal time function in normed spaces. Several new properties, concerning lower semicontinuity, convexity, Lipschitzianity and proximal subdiffer- ential calculus are presented. We then define a minimal time function associated with a collec- tion of sets which is motivated by the optimal time problem for nonconvex dynamics. Many properties of this new function are explored in connection with those of the usual minimal time function.
Keywords: Minimal time function, Proximal subdifferential, Normal cone, Convexity, Lipschitz ￼property.
Category 1: Other Topics (Other )
Entry Submitted: 10/02/2017
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