Regularity of the state constrained minimal time function

Nour, Chadi; Stern, R. J.

dc.creator	Nour, Chadi	en_US
dc.creator	Stern, R. J.	en_US
dc.date.accessioned	2016-03-30T08:05:33Z
dc.date.available	2016-03-30T08:05:33Z
dc.date.datecopyrighted	2007
dc.date.issued	2016-03-30
dc.identifier.issn	0362-546X	en_US
dc.identifier.uri	http://hdl.handle.net/10725/3437
dc.description.abstract	The regularity of the state constrained minimal time function is studied. We generalize [P. Wolenski, Y. Zhuang, Proximal analysis and the minimal time function, SIAM J. Control Optim. 36 (1998) 1048–1072, Theorem 6.1] in which Wolenski and Zhuang give necessary and sufficient conditions for Lipschitz continuity of the unconstrained minimal time function, and discuss certain ramifications.	en_US
dc.language.iso	en	en_US
dc.title	Regularity of the state constrained minimal time function	en_US
dc.type	Article	en_US
dc.description.version	Published	en_US
dc.creator.school	SAS	en_US
dc.creator.identifier	200502681	en_US
dc.author.woa	N/A	en_US
dc.creator.department	Computer Science and Mathematics	en_US
dc.description.embargo	N/A	en_US
dc.relation.ispartof	Nonlinear Analysis: Theory, Methods & Applications	en_US
dc.description.volume	66	en_US
dc.description.issue	1	en_US
dc.article.pages	62-72	en_US
dc.keywords	State constrained minimal time function	en_US
dc.keywords	Proto-Lipschitz	en_US
dc.keywords	Lipschitz	en_US
dc.keywords	Nonsmooth analysis	en_US
dc.keywords	Tangent and normal cones	en_US
dc.keywords	Proximal Hamilton–Jacobi inequalities	en_US
dc.identifier.doi	http://dx.doi.org/10.1016/j.na.2005.11.010	en_US
dc.identifier.ctation	Nour, C., & Stern, R. J. (2007). Regularity of the state constrained minimal time function. Nonlinear Analysis: Theory, Methods & Applications, 66(1), 62-72.	en_US
dc.creator.email	chadi.nour@lau.edu.lb
dc.identifier.url	http://www.sciencedirect.com/science/article/pii/S0362546X0500948X