DocumentCode
3260887
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
Volume
1
fYear
2002
fDate
10-13 Dec. 2002
Firstpage
1117
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7516-5
Type
conf
DOI
10.1109/CDC.2002.1184662
Filename
1184662
Link To Document