A Nonlinear ϕ0-Convexity Result for the Bilateral Minimal Time Function

Chamoun, Samara; Nour, Chadi

A Nonlinear ϕ0-Convexity Result for the Bilateral Minimal Time Function

Chamoun, Samara; Nour, Chadi

URL: https://www.heldermann.de/JCA/JCA28/JCA281/jca28008.htm

Date: 2021-11-23

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Abstract:

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.