- Tytuł:
- On the region of attraction of dynamical systems: Application to Lorenz equations
- Autorzy:
-
Hammami, M. A.
Rettab, N. H. - Powiązania:
- https://bibliotekanauki.pl/articles/229791.pdf
- Data publikacji:
- 2020
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
nonlinear dynamical systems
Lyapunov function
basin of attraction
Lorenz equations - Opis:
- Many nonlinear dynamical systems can present a challenge for the stability analysis in particular the estimation of the region of attraction of an equilibrium point. The usual methodis based on Lyapunov techniques. For the validity of the analysis it should be supposed that the initial conditions lie in the domain of attraction. In this paper, we investigate such problem for a class of dynamical systems where the origin is not necessarily an equilibrium point. In this case, a small compact neighborhood of the origin can be estimated as an attractor for the system. We give a method to estimate the basin of attraction based on the construction of a suitable Lyapunov function. Furthermore, an application to Lorenz system is given to verify the effectiveness of the proposed method.
- Źródło:
-
Archives of Control Sciences; 2020, 30, 3; 389-409
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł