| dc.contributor.author |
Nour, Chadi |
|
| dc.contributor.author |
Stern, Ronald J. |
|
| dc.date.accessioned |
2016-03-30T09:34:28Z |
|
| dc.date.available |
2016-03-30T09:34:28Z |
|
| dc.date.copyright |
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.author.school |
SAS |
en_US |
| dc.author.idnumber |
200502681 |
en_US |
| dc.author.woa |
N/A |
en_US |
| dc.author.department |
Computer Science and Mathematics |
en_US |
| dc.description.embargo |
N/A |
en_US |
| dc.relation.journal |
Systems & Control Letters |
en_US |
| dc.journal.volume |
57 |
en_US |
| dc.journal.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.author.email |
chadi.nour@lau.edu.lb |
|
| dc.identifier.url |
http://www.sciencedirect.com/science/article/pii/S0167691108000698 |
|
| dc.orcid.id |
https://orcid.org/0000-0003-4378-7459 |
en_US |
| dc.author.affiliation |
Lebanese American University |
en_US |