| 一类具多比例时滞细胞神经网络的全局指数稳定性 |
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| 引用本文： | 赵山崎,周立群. 一类具多比例时滞细胞神经网络的全局指数稳定性[J]. 天津师范大学学报(自然科学版), 2014, 0(1): 7-10 |
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| 作者姓名： | 赵山崎 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（60974144）;天津市高等学校科技发展基金资助项目（20100813）;天津师范大学博士基金资助项目（52LX34） |
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| 摘 要： | 通过构造合适的Lyapunov泛函和运用Halanay时滞不等式,讨论一类具多比例时滞细胞神经网络的全局指数稳定性,得到了判定该系统平衡点全局指数稳定的一个时滞独立的充分条件.通过数值算例和仿真结果验证了所得结论的有效性.
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| 关 键 词： | 细胞神经网络 多比例时滞 全局指数稳定性 Lyapunov泛函 |
Global exponential stability of a class of cellular neural networks with multi-proportional delays |
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| ZHAO Shanqi,ZHOU Liqun. Global exponential stability of a class of cellular neural networks with multi-proportional delays[J]. Journal of Tianjin Normal University(Natural Science Edition), 2014, 0(1): 7-10 |
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| Authors: | ZHAO Shanqi ZHOU Liqun |
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| Affiliation: | (College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China) |
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| Abstract: | Global exponential stability of a class of cellular neural networks with multi-proportional delays is studied. The sufficient conditions of global exponential stability of the equilibrium of system are obtained by constructing suitable Lyapunov functional and Halanay delay inequality. An example is given to illustrate the effectiveness of the result. |
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| Keywords: | cellular neural networks multi-proportional delays global exponential stability Lyapunov functional |
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