Title :
On the admissibility of control operators for perturbed semigroups and application to time-delay systems
Author :
Hadd, S. ; Boulite, S. ; Nounou, H. ; Nounou, M.
Author_Institution :
Dept. of Electr.&Comput. Eng., Texas A&M Univ. at Qatar, Doha, Qatar
Abstract :
In this paper, admissibility of control operators for perturbed semigroups is considered. We prove that the set of admissible control operators for a semigroup generator is unchanged if we perturb this generator by an appropriate class of unbounded operators. The result is applied to prove the well-posedness of a class of time-delay systems.
Keywords :
delay systems; group theory; admissible control operator; perturbed semigroups; semigroup generator; time delay systems; unbounded operator; Cities and towns; Computer science education; Control engineering education; Control systems; Delay systems; Linear feedback control systems; Linear systems; Open loop systems; Time of arrival estimation; Banach space; Unbounded control operators; admissibility; perturbed semigroup;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400407
