On the stability of a strongly stabilizing control for degenerate systems in Hilbert spaces

Autor: Hariri Mohamed, Bouteffal Zohra, Beghersa Nor-el-houda, Benabdallah Mehdi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Demonstratio Mathematica, Vol 56, Iss 1, Pp 383-403 (2023)
Druh dokumentu: article
ISSN: 2391-4661
DOI: 10.1515/dema-2022-0238
Popis: In this article, we explain how a recent Lyapunov theorem on stability plays a role in the study of the strong stabilizability problem in Hilbert spaces. We explore a degenerate controlled system and investigate the properties of a feedback control to stabilize such system in depth. The spectral theory of an appropriate pencil operator is used to generate robustness constraints for a stabilizing control.
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