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Chapitre D'ouvrage Année : 2009

On Pole Assignment and Stabilizability of Neutral Type Systems

Résumé

In this note we present a systematic approach to the stabilizability problem of linear infinite-dimensional dynamical systems whose infinitesimal generator has an infinite number of instable eigenvalues. We are interested in strong non-exponential stabilizability by a linear feed-back control. The study is based on our recent results on the Riesz basis property and a careful selection of the control laws which preserve this property. The investigation may be applied to wave equations and neutral type delay equations.
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Dates et versions

hal-00430604 , version 1 (12-05-2011)

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Rabah Rabah, Grigory M. Sklyar, Aleksandr V. Rezounenko. On Pole Assignment and Stabilizability of Neutral Type Systems. J. J. Loiseau, W. Michiels, S.-I. Niculescu, R. Sipahi. Topics in Time Delay Systems, Springer, pp.85-93, 2009, Lecture Note on Control and Information Sciences, ⟨10.1007/978-3-642-02897-7_8⟩. ⟨hal-00430604⟩
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