This paper concerns the study of a general minimal time problem with a convex constant dynamic and a closed target set in Banach spaces. We pay the main attention to deriving efficient conditions for the major well-posedness properties that include the existence and uniqueness of optimal solutions as well as certain regularity of the optimal value function with respect to state variables. Most of the results obtained are new even in finite-dimensional spaces. Our approach is based on advanced tools of variational analysis and generalized differentiation.
Number in Series
Applied Mathematics | Mathematics
AMS Subject Classification
49J53; 49J52; 46B20; 49J50
Colombo, Giovanni; Goncharov, Vladimir V.; and Mordukhovich, Boris S., "Well-Posedness of Minimal Time Problem with Constant Dynamics in Banach Spaces" (2009). Mathematics Research Reports. 71.