| 具时滞细胞神经网络周期解的全局渐近稳定性 |
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| 引用本文： | 常青,周立群.具时滞细胞神经网络周期解的全局渐近稳定性[J].天津师范大学学报(自然科学版),2012,32(4):22-26,31. |
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| 作者姓名： | 常青 周立群 |
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| 作者单位： | 天津师范大学数学科学学院,天津,300387 |
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| 基金项目： | 国家自然科学基金资助项目，天津师范大学博士基金资助项目，天津高等学校科技发展资助项目 |
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| 摘 要： | 讨论一类具时滞细胞神经网络周期解的全局渐近稳定性.通过构造合适的Lyapunov泛函及应用Barbalat引理,得到了具时滞细胞神经网络周期解的全局渐近稳定性的新的充分条件.最后通过数值算例及仿真证明了所得结论的有效性.
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| 关 键 词： | 时滞细胞神经网络 周期解 全局渐近稳定性 Lyapunov泛函 Barbalat引理 |
Global asymptotic stability of periodic solutions of a class of delayed cellular neural networks |
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| CHANG Qing
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ZHOU Li-qun.Global asymptotic stability of periodic solutions of a class of delayed cellular neural networks[J].Journal of Tianjin Normal University(Natural Science Edition),2012,32(4):22-26,31. |
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| Authors: | CHANG Qing ZHOU Li-qun |
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| Institution: | (College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China) |
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| Abstract: | The global asymptotic stability of periodic solutions of a class of delayed cellular neural networks is studied.In virtue of constructing a suitable Lyapunov functional and applying Barbalat lemma,new sufficient condition is derived for the global asymptotic stability of periodic solutions of the delayed cellular neural networks.And some examples and their simulations are given to illustrate the effectiveness of our methods. |
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| Keywords: | delayed cellular neural networks periodic solutions global asymptotic stability Lyapunov functional Barbalat lemma |
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