Ultimate boundedness of stochastic Hopfield neural networks with time-varying delays

Authors:
Li Wan;Qinghua Zhou;Pei Wang
Affiliations:
School of Mathematics and Physics, Wuhan Textile University, Wuhan 430073, China;Department of Mathematics, Zhaoqing University, Zhaoqing 526061, China;School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Venue:
Neurocomputing
Year:
2011

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Abstract

By employing Lyapunov functional theory as well as linear matrix inequalities, ultimate boundedness of stochastic Hopfield neural networks (HNN) with time-varying delays is investigated. Sufficient criteria on ultimate boundedness of stochastic HNN are firstly obtained, which fills up a gap and includes deterministic systems as our special case. Finally, numerical simulations are presented to illustrate the correctness and effectiveness of our theoretical results.