Abstract

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\varphi_0-convex.

Author information

Contact details are reproduced from the original publication and may be historical.

Chadi Nour

Dept. of Computer Science and Mathematics, Lebanese American University, Byblos Campus – P.O. Box 36, Byblos, Lebanon

cnour@lau.edu.lb

Keywords

  • Bilateral and unilateral minimal time function
  • linear control system
  • phi-convexity
  • proximal analysis
  • nonsmooth analysis

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Suggested citation

C. Nour. “Proximal Subdifferential of the Bilateral Minimal Time Function and some Regularity Applications.” Journal of Convex Analysis 20 (2013), No. 4, 1095–1112. https://doi.org/10.68381/jca20059

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Published by Heldermann Verlag, 2013. Rights now held by Banach Press LLC.