Stability Analysis of Retarded Systems via Lifting Technique

Kentaro Hirata, Hideki Kokame

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

17 Citations (Scopus)

Abstract

The proof of stability condition for the retarded differential systems via the lifting representation was described. The asymptotic stability was obtained only if every root of the characteristic equation was present in the retarded differential systems. The solutions of retarded differential systems were expressed by semigroup which acted on the Hilbert spaces. It was observed that the spectra of the infinitesimal generator of the semigroup concided with characteristic roots.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages5595-5596
Number of pages2
DOIs
Publication statusPublished - Dec 1 2003
Externally publishedYes
Event42nd IEEE Conference on Decision and Control - Maui, HI, United States
Duration: Dec 9 2003Dec 12 2003

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume6
ISSN (Print)0191-2216

Other

Other42nd IEEE Conference on Decision and Control
CountryUnited States
CityMaui, HI
Period12/9/0312/12/03

ASJC Scopus subject areas

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

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  • Cite this

    Hirata, K., & Kokame, H. (2003). Stability Analysis of Retarded Systems via Lifting Technique. In Proceedings of the IEEE Conference on Decision and Control (pp. 5595-5596). (Proceedings of the IEEE Conference on Decision and Control; Vol. 6). https://doi.org/10.1109/CDC.2003.1271893