Generalized practical stability analysis of discontinuous dynamical systems

• Autorzy: Guisheng Zhai , Anthony N Michel
• Języki publikacji: EN

Abstrakty

EN

In practice, one is not only interested in the qualitative characterizations provided by the Lyapunov stability, but also in quantitative information concerning the 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-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.

Słowa kluczowe

EN

discontinuous dynamical system; Lyapunov-like function; generalized practical stability (GP-stability); quantitative analysis

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2004
• Tom: 14
• Numer: 1
• Strony: 5-12

Daty

wydano

2004

otrzymano

2003-06-03

poprawiono

2003-08-24

Twórcy

autor

Guisheng Zhai

• Department of Opto-Mechatronics, Wakayama University, 930 Sakaedani, Wakayama 640-8510, Japan

autor

Anthony N Michel

• Department of Electrical Engineering, University of Notre Dame, Notre Dame, Indiana 46556, USA

Bibliografia

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