| 高阶S-分布时滞广义细胞神经网络的全局指数稳定性 |
| |
| 引用本文： | 马成荣.高阶S-分布时滞广义细胞神经网络的全局指数稳定性[J].生物数学学报,2011(3):459-468. |
| |
| 作者姓名： | 马成荣 |
| |
| 作者单位： | 浙江工业职业技术学院;上海大学数学系; |
| |
| 基金项目： | 浙江省教育厅科研计划项目(Y201018696,Y201019247) |
| |
| 摘 要： | 研究一类高阶S-分布时滞广义细胞神经网络的稳定性.利用一些分析技巧,通过构造恰当的Lebesgue-Stieltjes积分型Lyapunov泛函,得到系统全局指数稳定的充分条件,判断方法简单易验证.最后给出了主要定理的一个实例,表明结论的有效性.
|
| 关 键 词： | 广义细胞神经网络 高阶S-分布时滞 平衡点 全局指数稳定 |
Global Exponential Stability of High-Order Generalized Cellular Neural Networks with S-type Distributed Delays |
| |
| MA Cheng-rong.Global Exponential Stability of High-Order Generalized Cellular Neural Networks with S-type Distributed Delays[J].Journal of Biomathematics,2011(3):459-468. |
| |
| Authors: | MA Cheng-rong |
| |
| Institution: | MA Cheng-rong~(1,2) (1 Department of Mathematics,Zhejiang Industry Polytechnic College,Shaoxing Zhejiang 312000 China) (2 Department of Mathematics,Shanghai University,Shanghai 200444 China) |
| |
| Abstract: | Investigate the stability of high generalized cellular neural networks.By applying some analysis techniques and constructing suitable Lyapunov functional with Lebesgue-Stieljes integration,some sufficient conditions on global exponential stability are obtained,which are easily verifiable.Finally,an example is given to illustrate the effectiveness of the main theoretical results derived. |
| |
| Keywords: | Generalized cellular neural networks High-Order S-type distributed delays equilibrium point Global exponential stability |
| 本文献已被 CNKI 维普 等数据库收录！ |
