This paper is concerned with systems with control whose state evolution is described by linear skew-product semiflows. The connection between uniform exponential stability of a linear skew-product semiflow and the stabilizability of the associated system is presented. The relationship between the concepts of exact controllability and complete stabilizability of general control systems is studied. Some results due to Clark, Latushkin, Montgomery-Smith, Randolph, Megan, Zabczyk and Przyluski are generalized.
@article{urn:eudml:doc:44360,
title = {Stabilizability and controllability of systems associated to linear skew-product semiflows.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {15},
year = {2002},
pages = {599-618},
zbl = {1142.93414},
mrnumber = {MR1951828},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44360}
}
Megan, Mihail; Sasu, Adina Luminita; Sasu, Bogdan. Stabilizability and controllability of systems associated to linear skew-product semiflows.. Revista Matemática de la Universidad Complutense de Madrid, Tome 15 (2002) pp. 599-618. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44360/