The paper mostly concerns the study of generalized differential properties of the so-called minimal time functions associated, in particular, with constant dynamics and arbitrary closed target sets in control theory. Functions of this type play a significant role in many aspects of optimization, control theory: and Hamilton-Jacobi partial differential equations. We pay the main attention to computing and estimating limiting subgradients of the minimal value functions and to deriving the corresponding relations for Frechet type epsilon-subgradients in arbitrary Banach spaces.
Number in Series
Applied Mathematics | Mathematics
AMS Subject Classification
49J52, 49J53, 90C31
Mordukhovich, Boris S. and Nam, Nguyen Mau, "Limiting Subgradients of Minimal Time Functions in Banach Spaces" (2008). Mathematics Research Reports. 59.