Proximal subdifferential of the bilateral minimal time function and some regularity applications

We derive a formula for the proximal subdifferential of the bilateral minimal time function in the linear case. As a consequence, we prove some new regularity properties for this function, essentially, we provide suitable weak controllability assumption under which its epigraph is locally ϕ0-convex....

Full description

Saved in:
Bibliographic Details
Main Author: Nour, Chadi (author)
Format: article
Published: 2013
Online Access:http://hdl.handle.net/10725/7399
http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php
http://www.heldermann-verlag.de/jca/jca20/jca1309_b.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We derive a formula for the proximal subdifferential of the bilateral minimal time function in the linear case. As a consequence, we prove some new regularity properties for this function, essentially, we provide suitable weak controllability assumption under which its epigraph is locally ϕ0-convex.