Title :
Set separation and the lipschitz maximum principle
Author :
Sussmann, Héctor J.
Author_Institution :
State Univ. of New Jersey, Piscataway
Abstract :
We present a general necessary condition for separation of the reachable set of a Lipschitz control system from another given set, expressed in terms of an "approximating multicone" to the set in a sense that contains as special cases the Clarke and Mordukhovich cones. We then show how this separation result implies a stronger form of the usual necessary condition for optimality.
Keywords :
maximum principle; set theory; Clarke cone; Lipschitz control system; Lipschitz maximum principle; Mordukhovich cone; approximating multicone; optimality condition; reachable set; set separation; Control systems; Mathematics; Optimal control; Portable media players; Sufficient conditions; USA Councils;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434485
