Estimation of the domain of attraction for nonlinear systems

A method for constructing a domain of attraction for special-form nonlinear systems with separate phase constraints on the variables is proposed. The initial nonlinear system is embedded in classes of systems different in the sense of the set of solutions: linear nonstationary and linear stationary systems with a bounded disturbance in the right-hand side. The desired domain of attraction is constructed based on the totality of invariant sets obtained for each class of systems.