Compact perturbations of controlled systems
Language
en
Article de revue
This item was published in
Mathematical Control and Related Fields. 2018-06, vol. 8, n° 2, p. 397-410
AIMS
English 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 ...Read more >
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.Read less <
English Keywords
Compactness-uniqueness
Fattorini-Hautus test
Exact controllability
Reachable states
Origin
Hal imported