| 具有分布时滞的非自治Cohen-Grossberg神经网络稳定性研究 |
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| 引用本文： | 王雪萍,蒋海军.具有分布时滞的非自治Cohen-Grossberg神经网络稳定性研究[J].数学的实践与认识,2012,42(22):206-214. |
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| 作者姓名： | 王雪萍 蒋海军 |
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| 作者单位： | 1. 乌鲁木齐职业大学基础教育部,新疆乌鲁木齐,830002
2. 新疆大学数学与系统科学学院,新疆乌鲁木齐,830046 |
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| 摘 要： | 对具有分布时滞的非自治Cohen-Grossberg神经网络进行了研究.通过构造适当的Lyapunov函数,利用不等式分析方法,引入多参数,得到了一系列解的一致有界性且最终有界性和全局指数稳定性的判别准则.
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| 关 键 词： | Cohen-Grossberg神经网络 分布时滞 一致有界 全局指数稳定 |
Boundedness and Exponential Stability for Nonautonomous Cohen-Grossberg Neural Networks with Distributed Delays |
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| WANG Xue-ping
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JIANG Hai-jun.Boundedness and Exponential Stability for Nonautonomous Cohen-Grossberg Neural Networks with Distributed Delays[J].Mathematics in Practice and Theory,2012,42(22):206-214. |
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| Authors: | WANG Xue-ping JIANG Hai-jun |
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| Institution: | 1.Urumqi Vocational University,Urumqi 830002,China) (2.College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China) |
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| Abstract: | In this paper,nonautonomous Cohen-Grossberg neural networks with distributed delays are investigated.By applying the inequality analysis technique,introducing ingeniously many real parameters and constructing new Lyapunov functions,we establish a series of new and useful criteria on the ultimate boundedness and global exponential stability of solutions. |
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| Keywords: | cohen-grossberg neural networks distributed delays ultimate boundedness global exponential stability of solutions |
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