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Journal Articles Dynamics of Continuous, Discrete and Impulsive Systems, series B: Applications & algorithms Year : 2012

Semiconcavity of the Minimum Time Function for Differential Inclusions

Abstract

In this paper we consider the Minimum Time Problem with dynamics given by a differential inclusion. We prove that the minimum time function is semiconcave under suitable hypotheses on the multifunction F.

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Domains

Optimization and Control [math.OC]
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https://inria.hal.science/inria-00626401

Submitted on : Monday, September 26, 2011-10:15:00 AM

Last modification on : Monday, May 13, 2024-10:56:02 AM

Long-term archiving on: Tuesday, December 27, 2011-2:21:45 AM

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inria-00626401 , version 1 (26-09-2011)

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  • HAL Id : inria-00626401 , version 1

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Piermarco Cannarsa, Francesco Marino, Peter Wolenski. Semiconcavity of the Minimum Time Function for Differential Inclusions. Dynamics of Continuous, Discrete and Impulsive Systems, series B: Applications & algorithms, 2012, 19, pp.187-206. ⟨inria-00626401⟩

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