TY - JOUR N2 - 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 method is 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. L1 - http://www.czasopisma.pan.pl/Content/117704/PDF/art01.pdf L2 - http://www.czasopisma.pan.pl/Content/117704 PY - 2020 IS - No 3 EP - 409 DO - 10.24425/acs.2020.134671 KW - nonlinear dynamical systems KW - Lyapunov function KW - Basin of attraction KW - Lorenz equations A1 - Hammami, M.A. A1 - Rettab, N.H. PB - Committee of Automatic Control and Robotics PAS VL - vol. 30 DA - 2020.09.30 T1 - On the region of attraction of dynamical systems: Application to Lorenz equations SP - 389 UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/117704 T2 - Archives of Control Sciences ER -