Abstract
In this paper we will analyze the null controllability properties of a linear coupled degenerate parabolic system of n equations when m distributed controls are exerted on the system. First we start with the case when the coupling matrix A is cascade, and then when A is a full matrix, we will prove that the Kalman rank condition on the coupling and the control matrices A and B characterizes the controllability properties of the system.
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Fadili, M., Maniar, L. Null controllability of \(\varvec{n}\)-coupled degenerate parabolic systems with \(\varvec{m}\)-controls. J. Evol. Equ. 17, 1311–1340 (2017). https://doi.org/10.1007/s00028-017-0385-3
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DOI: https://doi.org/10.1007/s00028-017-0385-3