Homogeneity applied to the controllability of a system of parabolic equations

Jean-Michel Coron 1 Sergio Guerrero 1 Philippe Martin 2 Lionel Rosier 2
1 LJLL - Laboratoire Jacques-Louis Lions
2 CAS - Centre Automatique et Systèmes
Abstract : We consider a system of two parabolic equations with a forcing term present in one equation and a nonlinear coupling term of a particular type in the other one. We establish a local null controllability result, even if the linearized control system fails to be null controllable. The proof combines the return method, a Carleman inequality and an argument based on homogeneity. Our result can be applied to a reaction- diffusion system from Chemistry and to the Ginzburg-Landau equation.
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Communication dans un congrès
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01263657
Contributeur : François Chaplais <>
Soumis le : jeudi 28 janvier 2016 - 09:01:41
Dernière modification le : dimanche 31 mars 2019 - 01:38:47

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Jean-Michel Coron, Sergio Guerrero, Philippe Martin, Lionel Rosier. Homogeneity applied to the controllability of a system of parabolic equations. 2015 European Control Conference (ECC 2015), Jul 2015, Linz, Austria. pp.2470-2475, ⟨10.1109/ECC.2015.7330909⟩. ⟨hal-01263657⟩

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