Compact perturbations of controlled systems
Langue
en
Article de revue
Ce document a été publié dans
Mathematical Control and Related Fields. 2018-06, vol. 8, n° 2, p. 397-410
AIMS
Résumé en anglais
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 ...Lire la suite >
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. 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.< Réduire
Mots clés en anglais
Compactness-uniqueness
Fattorini-Hautus test
Exact controllability
Reachable states
Origine
Importé de halUnités de recherche