- Tytuł:
- Generalized practical stability analysis of discontinuous dynamical systems
- Autorzy:
-
Zhai, G.
Michel, A. N. - Powiązania:
- https://bibliotekanauki.pl/articles/907305.pdf
- Data publikacji:
- 2004
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
układ dynamiczny nieciągły
analiza ilościowa
funkcja Lyapunova
discontinuous dynamical system
quantitative analysis
generalized practical stability
Lyapunov-like function - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2004, 14, 1; 5-12
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł