Generalized Practical Stability Analysis of Discontinuous Dynamical Systems

Guisheng Zhai, Anthony N. Michel

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

16 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 give a new definition of generalized practical stability (abbreviated as GP-stability) and establish some sufficient conditions concerning GP-stability for a wide class of discontinuous dynamical systems. As in the classical Lyapunov theory, our results constitute a Direct Method, making use of auxiliary scalar-valued Lyapunov-Iike 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
Pages1663-1668
Number of pages6
Volume2
Publication statusPublished - 2003
Externally publishedYes
Event42nd IEEE Conference on Decision and Control - Maui, HI, United States
Duration: 2003 Dec 92003 Dec 12

Other

Other42nd IEEE Conference on Decision and Control
CountryUnited States
CityMaui, HI
Period03/12/903/12/12

Fingerprint

Dynamical systems
Lyapunov functions
Information systems
Trajectories

ASJC Scopus subject areas

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

Cite this

Zhai, G., & Michel, A. N. (2003). Generalized Practical Stability Analysis of Discontinuous Dynamical Systems. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2, pp. 1663-1668)

Generalized Practical Stability Analysis of Discontinuous Dynamical Systems. / Zhai, Guisheng; Michel, Anthony N.

Proceedings of the IEEE Conference on Decision and Control. Vol. 2 2003. p. 1663-1668.

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

Zhai, G & Michel, AN 2003, Generalized Practical Stability Analysis of Discontinuous Dynamical Systems. in Proceedings of the IEEE Conference on Decision and Control. vol. 2, pp. 1663-1668, 42nd IEEE Conference on Decision and Control, Maui, HI, United States, 03/12/9.
Zhai G, Michel AN. Generalized Practical Stability Analysis of Discontinuous Dynamical Systems. In Proceedings of the IEEE Conference on Decision and Control. Vol. 2. 2003. p. 1663-1668
Zhai, Guisheng ; Michel, Anthony N. / Generalized Practical Stability Analysis of Discontinuous Dynamical Systems. Proceedings of the IEEE Conference on Decision and Control. Vol. 2 2003. pp. 1663-1668
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