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In this paper, we deal with the distributed bilinear system d z(t)/d t= A z(t) + v(t)Bz(t), where A is the infinitesimal generator of a semigroup of contractions on a real Hilbert space H. The linear operator B is supposed bounded with respect to the graph norm of A. Then we give sufficient conditions for weak and strong stabilizations. Illustrating examples are provided.
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Ayadi et al. (2018) studied this question.
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