| 一类具变时滞细胞神经网络的全局渐近稳定性 |
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| 引用本文： | 常青,周立群. 一类具变时滞细胞神经网络的全局渐近稳定性[J]. 天津师范大学学报(自然科学版), 2012, 32(1): 6-9,12 |
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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,天津市高等学校科技发展基金计划资助项目,天津师范大学博士基金资助项目 |
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| 摘 要： | 讨论一类具变时滞细胞神经网络平衡点的唯一性和全局渐近稳定性,利用矩阵不等式,通过构造合适的Lyapunov泛函,得到了具变时滞细胞神经网络全局渐近稳定性的新的充分条件．
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| 关 键 词： | 细胞神经网络 变时滞 全局渐近稳定性 矩阵不等式 Lyapunov泛函 |
Global asymptotic stability of a class of cellular neural networks with variable delays |
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| CHANG Qing , ZHOU Li-qun. Global asymptotic stability of a class of cellular neural networks with variable delays[J]. Journal of Tianjin Normal University(Natural Science Edition), 2012, 32(1): 6-9,12 |
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| Authors: | CHANG Qing ZHOU Li-qun |
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| Affiliation: | College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China |
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| Abstract: | The uniqueness and the global asymptotic stability of the equilibrium point of a class of cellular neural networks with variable delays are studied.In virtue of constructing a linear matrix inequality and a suitable Lyapunov functional,new sufficient conditions are derived for the global asymptotic stability of the cellular neural networks with variable delay. |
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| Keywords: | cellular neural networks variable delays global asymptotic stability linear matrix inequality Lyapunov functional |
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