The stability for uncertain nonlinear neutral systems with time-delays

In this paper, the state observer design is considered for a class of nonlinear neutral delay system with nonlinear uncertainty based on Lyapunov stability theory. On condition that the nonlinear uncertain functions are gain bounded, a sufficient condition is presented for the existence of a linear feedback from interference input to control output. The less delay-dependent sufficient stability conditions for these systems in terms of linear matrix inequalities (LMI) are derived. By solving a linear matrix inequation, we can obtain the controller of this system. An illustrative example is given to show the effectiveness of the proposed method.