| 具反应扩散项的脉冲时滞Cohen-Grossberg神经网络的稳定性 |
| |
| 引用本文： | 张雨田,章旻慧.具反应扩散项的脉冲时滞Cohen-Grossberg神经网络的稳定性[J].南京气象学院学报,2012,4(3):213-219. |
| |
| 作者姓名： | 张雨田 章旻慧 |
| |
| 作者单位： | 南京信息工程大学数学与统计学院, 南京, 210044;江苏省科学技术情报研究所, 南京, 210042 |
| |
| 基金项目： | 国家自然科学基金(60904028;61174077) |
| |
| 摘 要： | 讨论了一类具反应扩散项的脉冲变时滞Cohen-Grossberg神经网络在Neu-mann边界条件下的稳定性.通过构造分片连续的Lyapunov函数,结合Neumann特征值问题,并利用Gronwall-Bellman脉冲积分不等式,得到了新的与反应扩散项和时滞有关的保证平衡点全局指数稳定性的代数判据.
|
| 关 键 词： | 全局指数稳定性 Cohen-Grossberg神经网络 反应扩散 变时滞 脉冲 |
| 收稿时间： | 2011/6/8 0:00:00 |
Stability analysis for impulsive reaction-diffusion Cohen-Grossberg neural networks with time-varying delays |
| |
| ZHANG Yutian and ZHANG Minhui.Stability analysis for impulsive reaction-diffusion Cohen-Grossberg neural networks with time-varying delays[J].Journal of Nanjing Institute of Meteorology,2012,4(3):213-219. |
| |
| Authors: | ZHANG Yutian and ZHANG Minhui |
| |
| Institution: | School of Mathematics & Statistics, Nanjing University of Information Science & Technology, Nanjing 210044;Jiangsu Institute of Science and Technology Information, Nanjing 210042 |
| |
| Abstract: | This work concerns the stability for a class of impulsive Cohen-Grossberg neural networks with time-varying delays,reaction-diffusion and Neumann boundary condition.By means of the impulsive integral inequality of Gronwall-Bellman type and piecewise continuous Lyapunov functions as well as Neumann eigenvalue problem,we summarize some new and concise sufficient conditions ensuring the global exponential stability of the equilibrium point.Moreover,the provided stability criteria are shown to be associated with both reaction-diffusion and time delays.An illustrative example is finally given to demonstrate the effectiveness of our obtained results. |
| |
| Keywords: | global exponential stability Cohen-Grossberg neural network reaction-diffusion time-varying delay impulse |
|
| 点击此处可从《南京气象学院学报》浏览原始摘要信息 |
| 点击此处可从《南京气象学院学报》下载免费的PDF全文 |
