Perturbation Method for Modeling of Nonlinear Dynamical Systems and Robust Sufficient Conditions for its Application

In the paper perturbation method and analytical and computer model for robust approximation of nonlinear dynamical systems are applied. The sufficient conditions for robust application of the perturbation method and the validity of the approximation are proven with a theorem, applying the theory of nonlinear operators of the functional analysis. Three examples comparing the numerical computer solution of the original system and the analytical solution of the approximate robust model are given. The method can be applied for analytical and computer modeling of dynamical systems, optimization, synthesis of computer control and for investigation of classical perturbation problems.