Compact perturbations of controlled systems

Abstract : In this article we study the controllability properties of general compactly perturbed exactly controlled linear systems with admissible control operators. Firstly, we show that approximate and exact controllability are equivalent properties for such systems. This unifies previous results available in the literature and that were established separately so far. Then, and more importantly, we provide for the perturbed system a complete characterization of the set of reachable states in terms of the Fattorini-Hautus test. The results rely on the Peetre lemma.
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https://hal.archives-ouvertes.fr/hal-01406540
Contributeur : Guillaume Olive <>
Soumis le : jeudi 27 juillet 2017 - 22:24:22
Dernière modification le : mercredi 2 août 2017 - 01:05:32

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  • HAL Id : hal-01406540, version 2

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Michel Duprez, Guillaume Olive. Compact perturbations of controlled systems. 2017. 〈hal-01406540v2〉

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