| 离散混合时滞细胞神经网络周期解的存在性与稳定性 |
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| 引用本文： | 张微微,张翠翠,潘瑞芬. 离散混合时滞细胞神经网络周期解的存在性与稳定性[J]. 湖北民族学院学报(自然科学版), 2007, 25(3): 250-254 |
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| 作者姓名： | 张微微 张翠翠 潘瑞芬 |
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| 作者单位： | 中南大学数学科学与计算技术学院 湖南长沙410083 |
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| 基金项目： | 国家重点基础研究发展计划(973计划) |
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| 摘 要： | 利用重合度理论及一些不等式的技巧讨论了离散混合时滞细胞神经网络周期解的存在性与全局指数稳定性,给出了周期解存在与全局指数稳定性的充分条件.
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| 关 键 词： | 细胞神经网络 周期解 重合度理论 混合时滞 |
| 文章编号： | 1008-8423（2007）03-0250-05 |
| 收稿时间： | 2007-03-01 |
| 修稿时间： | 2007-03-01 |
Existence and Exponential Stability of Periodic Solutions for Discrete-time Cellular Neural Networks with Mixed Delays |
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| ZHANG Wei-wei,ZHANG Cui-cui,PAN Rui-fen. Existence and Exponential Stability of Periodic Solutions for Discrete-time Cellular Neural Networks with Mixed Delays[J]. Journal of Hubei Institute for Nationalities(Natural Sciences), 2007, 25(3): 250-254 |
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| Authors: | ZHANG Wei-wei ZHANG Cui-cui PAN Rui-fen |
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| Affiliation: | School of Mathematical Science and Computing Technology, Central South University ,Changsha 410083 ,China |
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| Abstract: | In this letter existence and exponential stability of periodic solutions for discrete-time cellular neural networks with mixed delays are considered.Sufficient conditions for the existence and exponential stability of the periodic solutions are established by using the coincidence degree theorem and inequality technique. |
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| Keywords: | cellular neural networks periodic solution coincidence degree theory mixed-delays |
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