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
fDate :
4/1/2009 12:00:00 AM
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;
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
Conference_Location :
12/16/2008 12:00:00 AM
DOI :
10.1109/TSMCB.2008.2006860