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arXiv · 1906.11952

Feedback stabilization for a bilinear control system under weak observability inequalities

Kaïs Ammari·Mohamed Ouzahra
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Abstract

In this paper, we discuss the feedback stabilization of bilinear systems under weak observation properties. In this case, the uniform stability is not guaranteed. Thus we provide an explicit weak decay rate for all regular initial data. Applications to Schr\"odinger and wave equations are provided.

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Kaïs Ammari, Mohamed Ouzahra. 2019-06-27. Feedback stabilization for a bilinear control system under weak observability inequalities. https://arxiv.org/abs/1906.11952

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