Title :
Subdifferential and regularity properties of the minimum time function: an analysis for a constant dynamics
Author :
Colombo, Giovanni ; Wolenski, Peter R.
Author_Institution :
Dipt. di Matematica Pura e Applicata, Padova Univ., Italy
Abstract :
We consider the problem of computing the subgradient of the minimum time function with a constant, convex dynamics F with nonempty interior, and an arbitrary closed target S. Sufficient conditions are provided for the minimum time map to be semiconvex and/or continuously differentiable.
Keywords :
Hessian matrices; functions; set theory; variational techniques; constant dynamics; convex dynamics; local Lipschitz type property; minimum time function; minimum time map; nonempty interior; regularity properties; semiconvexity; subdifferential; subgradient; sufficient conditions; Control systems; Euclidean distance; Iron; Mathematics; Nonlinear control systems; Postal services; Sufficient conditions; USA Councils;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184662
