New global asymptotic stability criterion for neural networks with discrete and distributed delays
Peng Jia Shi, Jinhui Zhang, Jiqing Qiu, Li'nan Xing · Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering · 2007
This paper investigates the problem of global asymptotic stability for a class of neural networks with time-varying and distributed delays. By the Lyapunov-Krasovskii functional approach, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities (LMIs). The new stability condition does not require the time delay function to be continuously differentiable and its derivative to be less than 1, and it allows the time delay to be a fast time-varying function. Simulation examples are given to demonstrate the effectiveness of the developed techniques.