On the admissibility of control operators for perturbed semigroups and application to time-delay systems

S. Hadd, S. Boulite, Hazem Nounou, Mohamed Nounou

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Pages3400-3405
Number of pages6
DOIs
Publication statusPublished - 2009
Event48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China
Duration: 15 Dec 200918 Dec 2009

Other

Other48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
CountryChina
CityShanghai
Period15/12/0918/12/09

Fingerprint

Admissibility
Time-delay Systems
Time delay
Semigroup
Generator
Unbounded Operators
Operator
Well-posedness
Class

Keywords

  • Admissibility
  • Banach space
  • Perturbed semigroup
  • Unbounded control operators

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Hadd, S., Boulite, S., Nounou, H., & Nounou, M. (2009). On the admissibility of control operators for perturbed semigroups and application to time-delay systems. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (pp. 3400-3405). [5400407] https://doi.org/10.1109/CDC.2009.5400407

On the admissibility of control operators for perturbed semigroups and application to time-delay systems. / Hadd, S.; Boulite, S.; Nounou, Hazem; Nounou, Mohamed.

Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 3400-3405 5400407.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Hadd, S, Boulite, S, Nounou, H & Nounou, M 2009, On the admissibility of control operators for perturbed semigroups and application to time-delay systems. in Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5400407, pp. 3400-3405, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, China, 15/12/09. https://doi.org/10.1109/CDC.2009.5400407
Hadd S, Boulite S, Nounou H, Nounou M. On the admissibility of control operators for perturbed semigroups and application to time-delay systems. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 3400-3405. 5400407 https://doi.org/10.1109/CDC.2009.5400407
Hadd, S. ; Boulite, S. ; Nounou, Hazem ; Nounou, Mohamed. / On the admissibility of control operators for perturbed semigroups and application to time-delay systems. Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. pp. 3400-3405
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