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Article Dans Une Revue Bulletin of the Belgian Mathematical Society Année : 2014

On the Admissible Control operators for Linear and Bilinear Systems and the Favard Spaces

Résumé

The objective of this work is to give some relationship between the Favard spaces and the p-admissibility (resp. (p, q)-admissibility) of unbounded control operators for linear (resp; bilinear) systems in Banach spaces. For linear case, this enables to give a simple identification of the space of the 1 admissible control operators in Banach space and it enables us to extend the result of Weiss [29] (for p = 1) on reflexive Banach spaces to a general situation. This result is applied to boundary control systems. The results obtained for bilinear systems generalize those given in Idrissi [16] and Berrahmoune [2] and are applied to diffusion equations of fractional order time distributed order.

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Dates et versions

hal-01917699 , version 1 (09-11-2018)

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Fouad Maragh, Hamid Bounit, Ahmed Fadili, Hassan Hammouri. On the Admissible Control operators for Linear and Bilinear Systems and the Favard Spaces. Bulletin of the Belgian Mathematical Society, 2014, 21 (4), pp.711-732. ⟨10.36045/bbms/1414091010⟩. ⟨hal-01917699⟩
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