Novel delay-dependent asymptotic stability criteria for neural networks with time-varying delays

Authors:
Junkang Tian;Dongsheng Xu;Jian Zu
Affiliations:
College of Science, Southwest Petroleum University, Chengdu, Sichuan, 610500, PR China;College of Science, Southwest Petroleum University, Chengdu, Sichuan, 610500, PR China;College of Science, Southwest Petroleum University, Chengdu, Sichuan, 610500, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

The problem of delay-dependent asymptotic stability criteria for neural networks (NNs) with time-varying delays is investigated. An improved linear matrix inequality based on delay-dependent stability test is introduced to ensure a large upper bound for time-delay. A new class of Lyapunov function is constructed to derive a novel delay-dependent stability criteria. Finally, numerical examples are given to indicate significant improvement over some existing results.