Abstract
In this paper, we consider control systems for which the underlying semigroup is analytic and the resolvent of its generator is compact. In that case we give a characterization of the stabilizability of such control systems. When the stabilizability condition is satisfied, the system is also stabilizable by finite dimensional controls. We end the paper by giving an application of this result to the stabilizability of the Oseen equations with mixed boundary conditions.
Dedicated to Professor Amiya K. Pani on his 60th birthday.
Funding source: Agence Nationale de la Recherche
Award Identifier / Grant number: ANR-Project IFSMACS (ANR 15-CE40.0010)
Funding statement: The author is partially supported by the ANR-Project IFSMACS (ANR 15-CE40.0010)
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