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- Title
Regional stabilization of semi-linear parabolic systems.
- Authors
EL HARRAKI, I.; EL ALAMI, A.; BOUTOULOUT, A.; SERHANI, M.
- Abstract
In this paper, we study the regional stability and stabilization of semi-linear systems defined on a Hilbert state space. We prove that the system is stable once the strong controllability assumption is fulfilled together with a Lipschitz property of the non-linear operator. Furthermore, we propose a design of a class of non-linear controls that guaranteed regional exponential stabilization.
- Subjects
LIPSCHITZ spaces; HILBERT space; FUNCTION spaces; BANACH spaces; VECTOR spaces
- Publication
IMA Journal of Mathematical Control & Information, 2017, Vol 34, Issue 3, p961
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnw007