Stability Analysis for Neural Networks With Time-Varying Delay Based on Quadratic Convex Combination
Huaguang Zhang, Feisheng Yang, Xiaodong Liu, Qingling Zhang · IEEE Transactions on Neural Networks and Learning Systems · 2013
In this paper, a novel method is developed for the stability problem of a class of neural networks with time-varying delay. New delay-dependent stability criteria in terms of linear matrix inequalities for recurrent neural networks with time-varying delay are derived by the newly proposed augmented simple Lyapunov-Krasovski functional. Different from previous results by using the first-order convex combination property, our derivation applies the idea of second-order convex combination and the property of quadratic convex function which is given in the form of a lemma without resorting to Jensen's inequality. A numerical example is provided to verify the effectiveness and superiority of the presented results.