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Homogeneity applied to the controllability of a system of parabolic equations

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Jean-Michel Coron
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  • PersonId : 932476
Sergio Guerrero
  • Function : Author
  • PersonId : 836610
Philippe Martin
Lionel Rosier

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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Dates and versions

hal-01263657 , version 1 (28-01-2016)

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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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