Delay-dependent controller design for nonlinear system with time-varying delay based on neural networks

A new method is proposed to design delay-dependent stability controller for nonlinear systems with time-varying delay in this paper. It is presented by introducing a new type of Lyapunov function. Different from the general processing method, no any term is ignored during the process of analyzing. The controller is obtained by considering the additional useful terms, which were ignored in previous works. Otherwise, the upper bound of a constant delay h is bigger, which decreases the conservative of the systems. An simulation example demonstrates the effectiveness and the merits of the proposed method.