✦ LIBER ✦

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

✍ Scribed by Jinhui Zhang; Peng Shi; Jiqing Qiu

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 178 KB
Volume: 8
Category: Article
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2006.06.010

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✦ Synopsis

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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