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Communication Dans Un Congrès Année : 2015

Null controllability for a non-linear system with constrained control

Résumé

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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Dates et versions

hal-01679115 , version 1 (09-01-2018)

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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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