Abstract

For a nonlinear control system, we derive a φ0\varphi_0-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.

Author information

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

Samara Chamoun

Dept. of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon

samara.chamoun@lau.edu

Chadi Nour

Dept. of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon

cnour@lau.edu.lb

Keywords

  • Bilateral minimal time function
  • nonlinear control system
  • ϕ0-convexity
  • proximal analysis
  • nonsmooth analysis

Mathematics Subject Classification

49N60, 49J52, 34A60

Suggested citation

S. Chamoun, C. Nour. “A Nonlinear φ_0-Convexity Result for the Bilateral Minimal Time Function.” Journal of Convex Analysis 28 (2021), No. 1, 81–102. https://doi.org/10.68381/jca28008

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Published by Heldermann Verlag, 2021. Rights now held by Banach Press.