| 非自治时滞细胞神经网络的有界性和稳定性 |
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| 引用本文： | 蒋海军,滕志东.非自治时滞细胞神经网络的有界性和稳定性[J].黑龙江大学自然科学学报,2006,23(4):437-440. |
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| 作者姓名： | 蒋海军 滕志东 |
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| 作者单位： | 新疆大学,数学与系统科学学院,新疆,乌鲁木齐,830046;新疆大学,数学与系统科学学院,新疆,乌鲁木齐,830046 |
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| 基金项目： | 国家自然科学基金
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新疆大学校科研和教改项目 |
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| 摘 要： | 研究一类非自治时滞微分方程所描述的细胞神经网络系统.利用Lyapunov泛函方法和矩阵分析技巧,得到了系统的解是一致有界和一致最终有界及全局渐近稳定性的判别准则.所得到的结果是新的和有实用价值的.
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| 关 键 词： | 细胞神经网络 时滞 Lyapunov泛函 一致有界 一致最终有界 全局渐近稳定性 |
| 文章编号： | 1001-7011(2006)04-0437-04 |
| 修稿时间： | 2005年11月26 |
Boundedness and stability for nonautonomous cellular neural networks with delay |
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| JIANG Hai-jun,TENG Zhi-dong.Boundedness and stability for nonautonomous cellular neural networks with delay[J].Journal of Natural Science of Heilongjiang University,2006,23(4):437-440. |
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| Authors: | JIANG Hai-jun TENG Zhi-dong |
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| Abstract: | A class of nonautonomous delayed cellular neural networks systems that are described by retarded differential equation is studied.A criteria of the uniform boundedness and uniform ultimate boundedness and global asymptotic stability of solution is obtained by applying Lyapunov functional method and matrix analysis technique.The results obtained are new and have practical value. |
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| Keywords: | cellular neural networks delay Lyapunov functional uniform bounded uniform ultimate bounded global asymptotic stability |
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