An optimal time control problem for the one-dimensional, linear heat equation, in the presence of a scaling parameter - Archive ouverte HAL Access content directly
Journal Articles RAIRO - Operations Research Year : 2017

An optimal time control problem for the one-dimensional, linear heat equation, in the presence of a scaling parameter

Abstract

In this paper, we study the optimal time problem for the one-dimensional, linear heat equation, in the presence of a scaling parameter. To begin with, we build an exact solution. The dependence of this solution as regards the scaling parameter naturally opens the way to study the existence and uniqueness of an optimal time control. If, moreover, one assumes the L∞ − null controllability, it enables to establish a bang-bang type property.
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Dates and versions

hal-02925347 , version 1 (29-08-2020)

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Karim Benalia, Claire David, Brahim Oukacha. An optimal time control problem for the one-dimensional, linear heat equation, in the presence of a scaling parameter. RAIRO - Operations Research, 2017, 51 (4), pp.1289-1299. ⟨10.1051/ro/2017006⟩. ⟨hal-02925347⟩

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