-Admissible control elements for diagonal semigroups on -spaces |
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Authors: | Michael Unteregge |
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Affiliation: | aUniversity of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands |
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Abstract: | For linear systems described by , where A is a diagonal operator on the state space lr for some 1 r<∞ and b lr, we develop necessary and sufficient conditions for b to be p-admissible. This extends results by Ho, Russell and Weiss to the case r≠2. |
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Keywords: | Infinite-dimensional system Admissible control operator Carleson measure |
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