Robust stability for stochastic Hopfield neural networks with time delays |
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| Authors: | Zidong Wang, Huisheng Shu, Jian&#x an Fang,Xiaohui Liu |
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| Affiliation: | aDepartment of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK;bSchool of Information Sciences and Technology, Donghua University, Shanghai 200051, China;cSchool of Sciences, Donghua University, Shanghai 200051, China |
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| Abstract: | In this paper, the asymptotic stability analysis problem is considered for a class of uncertain stochastic neural networks with time delays and parameter uncertainties. The delays are time-invariant, and the uncertainties are norm-bounded that enter into all the network parameters. The aim of this paper is to establish easily verifiable conditions under which the delayed neural network is robustly asymptotically stable in the mean square for all admissible parameter uncertainties. By employing a Lyapunov–Krasovskii functional and conducting the stochastic analysis, a linear matrix inequality (LMI) approach is developed to derive the stability criteria. The proposed criteria can be checked readily by using some standard numerical packages, and no tuning of parameters is required. Examples are provided to demonstrate the effectiveness and applicability of the proposed criteria. |
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| Keywords: | Hopfield neural networks Uncertain systems Stochastic systems Time delays Lyapunov– Krasovskii functional Global asymptotic stability Linear matrix inequality |
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