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Article Dans Une Revue Visnyk of V.N.Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics Année : 2021

On exact controllability and complete stabilizability for linear systems

Résumé

This paper concerns the relation between exact controllability and stabilizability with arbitrary decay rate in infinite dimensional spaces. It appears that in several cases the notions are equivalent, but there are a lot of situations when additional conditions are needed, for example in Banach spaces. This is a short and non exhaustive review of some research on control theory for infinite dimensional spaces initiated by V. I. Korobov during the 70th of the past century in Kharkov State University.
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hal-03502876 , version 1 (26-12-2021)

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Domaine public

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Rabah Rabah. On exact controllability and complete stabilizability for linear systems. Visnyk of V.N.Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, 2021, “Mathematics, Applied Mathematics and Mechanics”, 94, pp.4-23. ⟨10.26565/2221-5646-2021-94-01⟩. ⟨hal-03502876⟩
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