Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays

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Zhang, Jinhui, Shi, Peng and Qiu, Jiqing (2007) Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays. Nonlinear Analysis: Real World Applications, 8 (4). pp. 1349-1357. ISSN 1468-1218

Abstract

The problem of stochastic robust stability of a class of stochastic Hopfield neural networks with time-varying delays and parameter uncertainties is investigated in this paper. The parameter uncertainties are time-varying and norm-bounded. The time-delay factors are unknown and time-varying with known bounds. Based on Lyapunov–Krasovskii functional and stochastic analysis approaches, some new stability criteria are presented in terms of linear matrix inequalities (LMIs) to guarantee the delayed neural network to be robustly stochastically asymptotically stable in the mean square for all admissible uncertainties. Numerical examples are given to illustrate the effectiveness and less conservativeness of the developed techniques.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/3459
DOI https://doi.org/10.1016/j.nonrwa.2006.06.010
Official URL http://www.sciencedirect.com/science?_ob=MImg&_ima...
Subjects Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords ResPubID18801, stochastic stability, Hopfield neural networks, time-varying delays, robust stability, linear matrix inequalities(LMIs), norm-bounded uncertainty
Citations in Scopus 134 - View on Scopus
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