DocumentCode
2822359
Title
Set separation and the lipschitz maximum principle
Author
Sussmann, Héctor J.
Author_Institution
State Univ. of New Jersey, Piscataway
fYear
2007
fDate
12-14 Dec. 2007
Firstpage
6023
Lastpage
6028
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2007 46th IEEE Conference on
Conference_Location
New Orleans, LA
ISSN
0191-2216
Print_ISBN
978-1-4244-1497-0
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2007.4434485
Filename
4434485
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