Lyapunov’s theory methods in stability problems of singular systems Original Research Article

The work is connected with the development of stability theory methods for complex system dynamics of singularly perturbed class. This research works out the specific approach, based on a combination of Lyapunov’s theory methods and perturbation theory, by extending the classical statements in the stability theory of A.M. Lyapunov, N.G. Chetayev, K.P. Persidsky and P.A. Kuzmin. It allows us to obtain new interesting results both for theory and for applications, and also for Knowledge theory as a whole.