On Global Stability of Delayed BAM Stochastic Neural Networks with Markovian Switching
Neural Processing Letters
New globally asymptotic stability criteria for delayed cellular neural networks
IEEE Transactions on Circuits and Systems II: Express Briefs
Novel robust stability criteria for stochastic hopfield neural networks with time delays
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
New Lyapunov-Krasovskii functionals for global asymptotic stability of delayed neural networks
IEEE Transactions on Neural Networks
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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International Journal of Systems Science - Dynamics Analysis of Gene Regulatory Networks
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IEEE Transactions on Neural Networks
Robust stability analysis for stochastic neural networks with time-varying delay
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
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IEEE Transactions on Neural Networks
Delay-derivative-dependent stability for delayed neural networks with unbound distributed delay
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
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IEEE Transactions on Neural Networks
Leakage Delays in T---S Fuzzy Cellular Neural Networks
Neural Processing Letters
Robust H∞ filter design of delayed neural networks
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
International Journal of Automation and Computing
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part I
International Journal of Software Science and Computational Intelligence
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In this brief, the problem of global asymptotic stability for delayed Hopfield neural networks (HNNs) is investigated. A new criterion of asymptotic stability is derived by introducing a new kind of Lyapunov-Krasovskii functional and is formulated in terms of a linear matrix inequality (LMI), which can be readily solved via standard software. This new criterion based on a delay fractioning approach proves to be much less conservative and the conservatism could be notably reduced by thinning the delay fractioning. An example is provided to show the effectiveness and the advantage of the proposed result.