Simultaneous null controllability with constraint on the control

Abstract : This paper is concerned with the simultaneous null controllability with constraint on the control, for a system of coupled linear heat equations. First, we show that, by means of a change of variable, a system of two linear heat equations with a same control can be rewritten in the form of a system of linear heat equations with a control function acting only in one equation. Then, we establish an observability inequality, and we state an appropriate Carleman estimate adapted to the constraint that we use to prove the main result.
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https://hal.archives-ouvertes.fr/hal-01679125
Contributor : Carole Louis-Rose <>
Submitted on : Tuesday, January 9, 2018 - 5:01:50 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:27 PM

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Carole Louis-Rose. Simultaneous null controllability with constraint on the control. Applied Mathematics and Computation, Elsevier, 2013, 219 (11), pp.6372 - 6392. 〈10.1016/j.amc.2012.12.022〉. 〈hal-01679125〉

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