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.

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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

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.