Simplified Method of Stability Analysis of Nonlinear Systems without Using of Lyapunov Concept

In this paper a new simplified method of stability study dynamical nonlinear systems is proposed as an alternative to using Lyapunov’s method. Like the Lyapunov theorem, concept describes sufficient condition for be globally stable. The based on assumption that, not only state matrix contains information systems, but also eigenvectors. So, first we will write model in state-space representation, then use eigenvectors system indicators.