DocumentCode
3559944
Title
Novel Robust Stability Criteria for Stochastic Hopfield Neural Networks With Time Delays
Author
Yang, Rongni ; Gao, Huijun ; Shi, Peng
Author_Institution
Dept. of Control Sci. & Eng., Harbin Inst. of Technol., Harbin
Volume
39
Issue
2
fYear
2009
fDate
4/1/2009 12:00:00 AM
Firstpage
467
Lastpage
474
Abstract
In this paper, the problem of asymptotic stability for stochastic Hopfield neural networks (HNNs) with time delays is investigated. New delay-dependent stability criteria are presented by constructing a novel Lyapunov-Krasovskii functional. Moreover, the results are further extended to the delayed stochastic HNNs with parameter uncertainties. The main idea is based on the delay partitioning technique, which differs greatly from most existing results and reduces conservatism. Numerical examples are provided to illustrate the effectiveness and less conservativeness of the developed techniques.
Keywords
Hopfield neural nets; Lyapunov methods; delays; robust control; stochastic processes; uncertain systems; Lyapunov-Krasovskii functional; delay partitioning technique; robust stability criteria; stochastic Hopfield neural networks; time delays; Hopfield neural networks (HNNs); Lyapunov–Krasovskii functional; Lyapunov–Krasovskii functional; robust stability; stochastic systems; time delay; uncertainties;
fLanguage
English
Journal_Title
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
Publisher
ieee
Conference_Location
12/16/2008 12:00:00 AM
ISSN
1083-4419
Type
jour
DOI
10.1109/TSMCB.2008.2006860
Filename
4717263
Link To Document