Partial null controllability of parabolic linear systems
Résumé
This paper is devoted to the partial null controllability issue of parabolic linear systems with n equations. Given a bounded domain Ω in R N (N ∈ N *), we study the effect of m localized controls in a nonempty open subset ω only controlling p components of the solution (p, m n). The first main result of this paper is a necessary and sufficient condition when the coupling and control matrices are constant. The second result provides, in a first step, a sufficient condition of partial null controllability when the matrices only depend on time. In a second step, through an example of partially controlled 2 × 2 parabolic system, we will give positive and negative results on partial null controllability when the coefficients are space dependent.
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controle_partiel_version_finale.pdf (474.93 Ko)
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Simulation-Partial-null-controllability-of-parabolic-linear-systems-master.zip (11.09 Ko)
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