Feedback stabilization for a bilinear control system under weak observability inequalities
Optimization and Control
2019-07-01 v1 Dynamical Systems
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.
Cite
@article{arxiv.1906.11952,
title = {Feedback stabilization for a bilinear control system under weak observability inequalities},
author = {Kaïs Ammari and Mohamed Ouzahra},
journal= {arXiv preprint arXiv:1906.11952},
year = {2019}
}