Stability, attraction domains, and ultimate boundedness for nonlinear neutral systems Original Research Article

This paper deals with the stability, the stability domains estimation, and the asymptotic behaviours analysis for a class of nonlinear neutral systems. The notion of degenerate comparison system is defined. It leads to stability conditions in the form of two separate conditions that are to be checked on two simple systems: the first one is an ordinary differential equation, and the second one is an ordinary difference equation.