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Information Sciences Letters

Information Sciences Letters

Abstract

The paper proposes a constrained feedback control that guarantee weak and strong stabilizability for distributed semilinear systems of the form : dy(t) dt = Ay(t)+ p(t)Ny(t), where A is the infinitesimal generator of a linear C0−semigroup of contractions on a Hilbert space H and N is a (nonlinear) operator from H into its self. A decay rate of the state is estimated. Also the robustness of the considered control is discussed. Applications and simulations are provided.

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