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Internal feedback stabilization for parabolic systems coupled in zero or first order terms

The author was supported by a grant of the Ministry of Research and Innovation, CNCS - UEFISCDI, project number PN-III-P4-ID-PCE-2016-0011
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  • We consider systems of $ n $ parabolic equations coupled in zero or first order terms with $ m $ scalar controls acting through a control matrix $ B $. We are interested in stabilization with a control in feedback form. Our approach relies on the approximate controllability of the linearized system, which in turn is related to unique continuation property for the adjoint system. For the unique continuation we establish algebraic Kalman type conditions.

    Mathematics Subject Classification: Primary: 35K40, 93D15, 93B52; Secondary: 35K57, 93B18.


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