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Improved delay-dependent stability criterion for neural networks with time-varying delay
Authors:Junkang Tian  Shouming Zhong
Affiliation:a School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China
b Key Laboratory for Neuroinformation of Ministry of Education, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China
Abstract:
In this paper, the problem of delay-dependent asymptotic stability criterion for neural networks with time-varying delay has been considered. A new class of Lyapunov functional which contains a triple-integral term is constructed to derive some new delay-dependent stability criteria. The obtained criteria are less conservative because free-weighting matrices method and a convex optimization approach are considered. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.
Keywords:Delay-dependent stability   Neural networks   Time-varying delay   Linear matrix inequality (LMI)
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