Stability analysis of nonlinear singular system with time-varying delay based on neural networks

Propose a new method to analyze the stability of nonlinear singular systems with time-varying delay in state part and nonlinear part in this paper. It is proposed a new type of Lyapunov function to analyze the stability and to present delay-dependent controller. No any term is ignored during the process of analyzing which is different from the general processing method, and it also takes consideration of nonlinear singular systems. A simulation example demonstrates the effectiveness of the proposed method.