Title :
A new stability criterion of stochastic neural networks with delays
Author :
Yun Chen ; Wei Xing Zheng
Author_Institution :
Inst. of Inf. & Control, Hangzhou Dianzi Univ., Hangzhou, China
Abstract :
This paper investigates the problem of mean-square asymptotic stability of uncertain neural networks with time-varying delay and stochastic noise. Based on generalized Finsler lemma and the linear matrix inequality (LMI) optimization technique, an improved delay-dependent stability criterion is developed. It is shown that the new stability criterion is less conservative and less computationally complex than the existing stability conditions. A numerical example is presented to substantiate the effectiveness of the theoretical results.
Keywords :
asymptotic stability; delays; linear matrix inequalities; neural nets; stability criteria; stochastic programming; time-varying systems; uncertain systems; LMI optimization technique; delay-dependent stability criterion; generalized Finsler lemma; linear matrix inequality; mean-square asymptotic stability problem; stability conditions; stochastic neural networks; stochastic noise; time-varying delay; uncertain neural networks; Artificial neural networks; Asymptotic stability; Delay; Noise; Numerical stability; Stability criteria; Symmetric matrices;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426757