Abstract
In this paper, we first present formulas for computing the Frechet subdifferentials and Frechet singular subdifferentials of the minimal time function for a differential inclusion in R n with a general target K. These formulas are characterized in terms of Frechet normal cones to a sub-level set of and a level set of the minimized Hamiltonian associated with the differential inclusion. Our results extend, improve and complement to existing results. An application to sensitivity analysis for a class of time optimal control problems is also given.
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