Compact perturbations of controlled systems
Idioma
en
Article de revue
Este ítem está publicado en
Mathematical Control and Related Fields. 2018-06, vol. 8, n° 2, p. 397-410
AIMS
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
Compactness-uniqueness
Fattorini-Hautus test
Exact controllability
Reachable states
Orígen
Importado de HalCentros de investigación