On practical stability of switched systems

Guisheng Zhai, Anthony N. Michel

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

18 Citations (Scopus)

Abstract

In practice, one is not only interested in the qualitative characterizations provided by Lyapunov stability, but also in quantitative information concerning system behavior, including estimates of trajectory bounds, possibly over finite time intervals. This type of information has been ascertained in the past in a systematic manner, using the concept of practical stability. In the present paper we establish new sufficient conditions for practical stability of an important class of switched systems. As in the classical Lyapunov theory, our results constitute a Direct Method, making use of auxiliary scalar-valued Lyapunov-like functions. These functions, however, have properties that differ significantly from the usual Lyapunov functions. We demonstrate the applicability of our results by means of several specific examples.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages3488-3493
Number of pages6
Volume3
Publication statusPublished - 2002
Externally publishedYes
Event41st IEEE Conference on Decision and Control - Las Vegas, NV, United States
Duration: 2002 Dec 102002 Dec 13

Other

Other41st IEEE Conference on Decision and Control
CountryUnited States
CityLas Vegas, NV
Period02/12/1002/12/13

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ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Zhai, G., & Michel, A. N. (2002). On practical stability of switched systems. In Proceedings of the IEEE Conference on Decision and Control (Vol. 3, pp. 3488-3493)