Stability analysis for neural networks with time-varying delay: A more general delay decomposition approach

Authors:
Yonggang Chen;Weiping Bi;Wenlin Li
Affiliations:
Department of Mathematics, Henan Institute of Science and Technology, Xinxiang 453003, China;College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China;College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
Venue:
Neurocomputing
Year:
2010

Citing 7
Cited 2

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Abstract

This paper considers the stability analysis problem for neural networks with time-varying delay. Firstly, the new augmented Lyapunov functional is constructed by employing the more general decomposition approach. Then based on the Lyapunov stability theory and free weight matrix method, the novel delay-dependent stability condition is derived in terms of linear matrix inequalities (LMIs). Numerical examples show that the proposed method is more effective than some existing ones.