On Exact Controllability and Complete Stabilizability for Linear Systems in Hilbert SpacesReport as inadecuate




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1 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes

Abstract : A criterion of exact controllabilty using the resolvent of the state space operator is given for linear control system in Hilbert space . Only surjectivity of the semi-group operators is assumed. This condition is necessary for exact controllability, so the criterion is quite general. Relations between exact controllability and complete stabilizability are specified.

Keywords : Infinite dimensional systems linear systems exact controllability stabilizability





Author: Rabah Rabah - Jamila Karrakchou

Source: https://hal.archives-ouvertes.fr/



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