Abstract
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.
Citation
F. Maragh. H. Bounit. A. Fadili. H. Hammouri. "On the Admissible Control operators for Linear and Bilinear Systems and the Favard Spaces." Bull. Belg. Math. Soc. Simon Stevin 21 (4) 711 - 732, october 2014. https://doi.org/10.36045/bbms/1414091010
Information