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arXiv · 1705.03044

On Algebraic condition for null controllability of some coupled degenerate systems

E. M. Ait Benhassi·M. Fadili·L. Maniar
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Abstract

In this paper we will generalize the Kalman rank condition for the null controllability to $n$-coupled linear degenerate parabolic systems with constant coefficients, diagonalizable diffusion matrix, and $m$-controls. For that we prove a global Carleman estimate of the solution of a scalar $2n$-order equation then we infer from it an observability inequality for the corresponding adjoint system, and thus the null controllability.

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E. M. Ait Benhassi, M. Fadili, L. Maniar. 2017-05-08. On Algebraic condition for null controllability of some coupled degenerate systems. https://arxiv.org/abs/1705.03044

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