| Stability Analysis of Cohen-Grossberg Neural Networks with Time-Varying Delays |
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| 作者姓名： | 刘艳青 唐万生 |
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| 作者单位： | Institute of Systems Engineering Tianjin University School of Sciences Tianjin University Tianjin 300072 China，Institute of Systems Engineering Tianjin University，Tianjin 300072 China，Tianjin 300072 China |
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| 摘 要： | In recent years, Cohen-Grossberg neural net-works (CGNNs) have received increasing interest dueto its promising potential for applications in classifica-tion, parallel computing, associative memory and es-pecially in solving some optimization problems. Wh…
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| 关 键 词： | Cohen-Grossberg神经网络 平衡点 全局指数稳定性 变时滞 |
| 收稿时间： | 2006-10-30 |
Stability Analysis of Cohen-Grossberg Neural Networks with Time-Varying Delays |
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| LIU Yanqing,TANG Wansheng.Stability Analysis of Cohen-Grossberg Neural Networks with Time-Varying Delays[J].Transactions of Tianjin University,2007,13(1):12-17. |
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| Authors: | LIU Yanqing TANG Wansheng |
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| Abstract: | The global exponential stability of Cohen-Grossberg neural networks with time-varying delays is studied. By constructing several suitable Lyapunov functionals and utilizing differential in-equality techniques, some sufficient criteria for the global exponential stability and the exponential convergence rate of the equilibrium point of the system are obtained. The criteria do not require the activation functions to be differentiable or monotone nondecreasing. Some stability results from previous works are extended and improved. Comparisons are made to demonstrate the advantage of our results. |
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| Keywords: | Cohen-Grossberg neural networks time-varying delay equilibrium point global exponential stability convergence rate |
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