Generalized Practical Stability Analysis of Discontinuous Dynamical Systems

Guisheng Zhai, Anthony N. Michel

研究成果: Conference article

18 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)1663-1668
ページ数6
ジャーナルProceedings of the IEEE Conference on Decision and Control
2
出版ステータスPublished - 2003 12 1
外部発表はい
イベント42nd IEEE Conference on Decision and Control - Maui, HI, United States
継続期間: 2003 12 92003 12 12

ASJC Scopus subject areas

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

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