Feedback stabilization for a bilinear control system under weak observability inequalities

Published 27 Jun 2019 in math.OC and math.DS | (1906.11952v1)

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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