| 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 |
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| 引用本文： | 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. |
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| 作者姓名： | 张德飞 杨鑫松 龙瑶 何萍 |
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| 作者单位： | 红河学院数学学院，云南 蒙自 661100;红河学院数学学院，云南 蒙自 661100;红河学院数学学院，云南 蒙自 661100;红河学院数学学院，云南 蒙自 661100 |
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| 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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| 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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| 关 键 词： | shunting inhibitory cellular neural networks global exponential stability periodic solution. |
| 收稿时间： | 2008/11/4 0:00:00 |
| 修稿时间： | 5/4/2010 12:00:00 AM |
Existence and Global Exponential Stability of Periodic Solutions for General Shunting Inhibitory Cellular Neural Networks with Delays |
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| De Fei ZHANG,Xin Song YANG,Yao LONG and Ping HE.Existence and Global Exponential Stability of Periodic Solutions for General Shunting Inhibitory Cellular Neural Networks with Delays[J].Journal of Mathematical Research with Applications,2010,30(6):1125-1136. |
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| Authors: | De Fei ZHANG Xin Song YANG Yao LONG and Ping HE |
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| Institution: | Department of Mathematics,Honghe University,Yunnan 661100,P.R.China |
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| Abstract: | 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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| Keywords: | shunting inhibitory cellular neural networks global exponential stability periodic solution |
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