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Null controllability for a non-linear system with constrained control

Abstract : We consider in this paper a cascade system of two parabolic equations, governed by a quasi-linear nonlocal operator. We study the null controllability of this problem with a control subject to constraints. We begin by proving the existence of a unique control of minimal norm for the linear problem. We combine these results with a fixed-point theorem to conclude.
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https://hal.archives-ouvertes.fr/hal-01679115
Contributor : Carole Louis-Rose <>
Submitted on : Tuesday, January 9, 2018 - 4:57:20 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:27 PM

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Carole Louis-Rose. Null controllability for a non-linear system with constrained control. ECC15, Jul 2015, Linz, Austria. pp.599-603, ⟨10.1109/ECC.2015.7330608⟩. ⟨hal-01679115⟩

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