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Finite pole assignment of retarded dynamical systems in Hilbert spaces - MaRDI portal

Finite pole assignment of retarded dynamical systems in Hilbert spaces (Q2738688)

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scientific article; zbMATH DE number 1639820
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English
Finite pole assignment of retarded dynamical systems in Hilbert spaces
scientific article; zbMATH DE number 1639820

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    23 April 2002
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    pole placement
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    stabilization
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    abstract linear system
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    distributed delay
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    Finite pole assignment of retarded dynamical systems in Hilbert spaces (English)
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    An abstract linear system with constant and distributed delay is considered, which might be unstable in the open-loop condition. Stabilization is achieved by means of a lumped-element controller inserted into the feedback loop. Results are presented in the form of conditions on the admissible eigenvalues, based on a particular conjecture. The content is a slight extension of the one presented in the paper of \textit{L. Naimark}, \textit{J. Kogan}, and \textit{E. Zaheb} [Automatica 36, No. 3, 475-480 (2000; Zbl 0983.93059)], despite the much more elaborate terminology.NEWLINENEWLINEFor the entire collection see [Zbl 0960.00044].
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