| 张德飞,杨鑫松,龙瑶,何萍.具有时滞的抑制细胞神经网络的周期解的存在性和全局指数稳定性[J].数学研究及应用,2010,30(6):1125~1136 |
| 具有时滞的抑制细胞神经网络的周期解的存在性和全局指数稳定性 |
| Existence and Global Exponential Stability of Periodic Solutions for General Shunting Inhibitory Cellular Neural Networks with Delays |
| 投稿时间：2008-11-04 修订日期：2010-05-04 |
| DOI：10.3770/j.issn:1000-341X.2010.06.023 |
| 中文关键词: 抑制细胞神经网络 全局指数稳定 周期解. |
| 英文关键词:shunting inhibitory cellular neural networks global exponential stability periodic solution. |
| 基金项目:红河学院博士、硕士科研启动基金(Grant No. XSS07001), 云南省教育厅基金(Grant No. 07Y10085). |
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| 中文摘要: |
| 本文通过运用Leray-Schauder不动点定理、微分不等式以及构造适当的Lyapunov函数等技巧,得出了关于一般的具有时滞的抑制细胞神经网络的周期解的存在性、唯一性和全局指数稳定的充分条件.本文结果是新的并且改善了一些已知的结果.最后,举例说明本文结果的可行性. |
| 英文摘要: |
| By using the Leray-Schauder fixed point theorem, differential inequality techniques and constructing suitable Lyapunov functional, several sufficient conditions are obtained for the existence and global exponential stability of periodic solutions for general shunting inhibitory cellular neural networks with delays. Some new results are obtained and some previously known results are improved. An example is employed to illustrate our feasible results. |
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