There are several methods to determine the stability of nonlinear systems that are fully described in control engineering resources and nonlinear control systems. The methods presented so far are not easy to analyze for the asymptotic stability of complex high-dimensional nonlinear dynamical systems. It is natural to extend the analysis of the stability of nonlinear systems and provide a method that can easily determine the asymptotic stability of a wide range of nonlinear systems, regardless of the dimensions and complexity of the system. In this paper, a new sufficient condition for asymptotic Lyapunov stability analysis of continuous nonlinear dynamical systems in the general case based on LLE is proposed. This method can easily support the asymptotic stability of a large variety of continuous highdimensional nonlinear dynamical systems based on system parameters. Using the method outlined in this paper, in order to analyze the stability of nonlinear systems, it is easy to determine the range of system parameters where the system has stable conditions. Some numerical examples are provided to show the effectiveness of the main result.
