Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Archives of Control Sciences

1 2020

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Lorenz equations

Sortuj według:

Ogranicz wyniki do:

On the region of attraction of dynamical systems: Application to Lorenz equations

Hammami M. A., Rettab N. H.

Archives of Control Sciences

2020

Vol. 30, No. 3

389--409

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.