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Feedback stabilization of non-homogeneous bilinear systems with a finite time delay
  • Zakaria Hamidi,
  • Mohamed Ouzahra
Zakaria Hamidi
Universite Sidi Mohamed Ben Abdallah
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Mohamed Ouzahra
Sidi Mohamed Ben Abdellah University
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Abstract

This paper investigates the feedback stabilization of non-homogeneous delayed bilinear systems, evolving in Hilbert state space. More precisely, under observability like assumption, we prove the exponential and strong stability of the solution by using a bounded feedback control. The partial stabilization is discussed as well. The proof of the main results is based on the decomposition method. The decay estimates of the corresponding solution are obtained. Finally, some examples are presented.

Peer review status:UNDER REVIEW

06 Jun 2021Submitted to Mathematical Methods in the Applied Sciences
11 Jun 2021Assigned to Editor
11 Jun 2021Submission Checks Completed
15 Jun 2021Reviewer(s) Assigned