A Nonlinear ϕ0-Convexity Result for the Bilateral Minimal Time Function

Chamoun, Samara; Nour, Chadi

dc.contributor.author	Chamoun, Samara
dc.contributor.author	Nour, Chadi
dc.date.accessioned	2021-11-23T14:29:49Z
dc.date.available	2021-11-23T14:29:49Z
dc.date.copyright	2021	en_US
dc.date.issued	2021-11-23
dc.identifier.issn	0944-6532	en_US
dc.identifier.uri	http://hdl.handle.net/10725/13126
dc.description.abstract	For a nonlinear control system, we derive a ϕ0-convexity result for the epigraph of the bilateral minimal time function. This extends the main result in a previous publication of the second author [Proximal subdifferential of the bilateral minimal time function and some regularity applications, J. Convex Analysis 20 (2013) 1095--1112], which discussed the linear case.	en_US
dc.language.iso	en	en_US
dc.title	A Nonlinear ϕ0-Convexity Result for the Bilateral Minimal Time Function	en_US
dc.type	Article	en_US
dc.description.version	Published	en_US
dc.author.school	SAS	en_US
dc.author.idnumber	200502681	en_US
dc.author.department	Computer Science And Mathematics	en_US
dc.relation.journal	Journal of Convex Analysis	en_US
dc.journal.volume	28	en_US
dc.journal.issue	1	en_US
dc.article.pages	81-102	en_US
dc.keywords	Bilateral minimal time function	en_US
dc.keywords	Nonlinear control system	en_US
dc.keywords	ϕ0-convexity	en_US
dc.keywords	Proximal analysis	en_US
dc.keywords	Nonsmooth analysis	en_US
dc.identifier.ctation	Chamoun, S., & Nour, C. (2021). A Nonlinear ϕ 0-Convexity Result for the Bilateral Minimal Time Function. Journal of Convex Analysis, 28(1), 081-102.	en_US
dc.author.email	chadi.nour@lau.edu.lb	en_US
dc.identifier.tou	http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php	en_US
dc.identifier.url	https://www.heldermann.de/JCA/JCA28/JCA281/jca28008.htm	en_US
dc.orcid.id	https://orcid.org/0000-0003-4378-7459	en_US
dc.author.affiliation	Lebanese American University	en_US