Journal of Convex Analysis 28 (2021), No. 1, 081--102
Copyright Heldermann Verlag 2021
A Nonlinear ϕ0-Convexity Result for the Bilateral Minimal Time Function
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
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.
Keywords: Bilateral minimal time function, nonlinear control system, ϕ0-convexity, proximal analysis, nonsmooth analysis.
MSC: 49N60, 49J52, 34A60.
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