Semiconcavity of the bilateral minimal time function

Nour, Chadi; Stern, Ronald J.

dc.creator	Nour, Chadi	en_US
dc.creator	Stern, Ronald J.	en_US
dc.date.accessioned	2016-03-30T09:34:28Z
dc.date.available	2016-03-30T09:34:28Z
dc.date.datecopyrighted	2008
dc.date.issued	2016-03-30
dc.identifier.issn	0167-6911	en_US
dc.identifier.uri	http://hdl.handle.net/10725/3444
dc.description.abstract	For a linear control system, we provide conditions under which the bilateral minimal time function T(⋅,⋅) is semiconcave near a given point (α,β). A semiconvexity result of Nour [C. Nour, The bilateral minimal time function, J. Convex Anal. 13 (1) (2006) 61–80, Theorem 4.7] allows us to deduce that T(⋅,⋅) is then also C1,1-smooth near (α,β). The nonlinear case, which remains open, is discussed in the concluding remarks.	en_US
dc.language.iso	en	en_US
dc.title	Semiconcavity of the bilateral minimal time function	en_US
dc.type	Article	en_US
dc.description.version	Published	en_US
dc.title.subtitle	The linear case	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	Systems & Control Letters	en_US
dc.description.volume	57	en_US
dc.description.issue	10	en_US
dc.article.pages	863–866	en_US
dc.keywords	Bilateral minimal time function	en_US
dc.keywords	Linear control system	en_US
dc.keywords	Semiconcavity	en_US
dc.keywords	Smoothness	en_US
dc.identifier.doi	http://dx.doi.org/10.1016/j.sysconle.2008.04.001	en_US
dc.identifier.ctation	Nour, C., & Stern, R. J. (2008). Semiconcavity of the bilateral minimal time function: The linear case. Systems & Control Letters, 57(10), 863-866.	en_US
dc.creator.email	chadi.nour@lau.edu.lb
dc.identifier.url	http://www.sciencedirect.com/science/article/pii/S0167691108000698