| 具有分布时滞的高阶Hopfield神经网络的全局稳定性判据 |
| |
| 引用本文： | 钱燕,冯晓梅,蒋海军.具有分布时滞的高阶Hopfield神经网络的全局稳定性判据[J].新疆大学学报(理工版),2009,26(1):53-59. |
| |
| 作者姓名： | 钱燕 冯晓梅 蒋海军 |
| |
| 作者单位： | 新疆大学数学与系统科学学院,新疆,乌鲁木齐,830046
|
| |
| 基金项目： | 国家自然科学基金，The Major Project of The Ministry of Education and The Scientific Research Programmes of Colleges in Xinjiang |
| |
| 摘 要： | 通过使用Lyapunov泛函方法和LMI方法研究了具有连续分布时滞的高阶Hopfield神经网络（HHNNs）的全局渐近稳定性，得到了系统全局渐近稳定的充分条件．通过使用Matlab中的LMI工具箱验证了结果的有效性．
|
| 关 键 词： | 高阶Hopfield神经网络 全局渐近稳定 分布时滞 线性矩阵不等式 Lyapunov泛函 |
On Global Stability Criterion of High-order Hopfield Neural Networks with Distributed Delays |
| |
| QIAN Yan,FENG Xiao-mei,JIANG Hai-jun.On Global Stability Criterion of High-order Hopfield Neural Networks with Distributed Delays[J].Journal of Xinjiang University(Science & Engineering),2009,26(1):53-59. |
| |
| Authors: | QIAN Yan FENG Xiao-mei JIANG Hai-jun |
| |
| Institution: | (College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China) |
| |
| Abstract: | In this paper, the global asymptotic stability is studied for a class of high-order Hopfield networks （HHNNs） with continuously distributed delays by employing Lyapunov functionals and linear,matrix inequality （LMI） technique. Some sufficient conditions are given to ensure the global asymptotic stability of the system. In addition, the proposed conditions are easily checked using the Matlab LMI control toolbox. |
| |
| Keywords: | High-order Hopfield neural networks Global asymptotic stability Distributed delays Linear matrix inequality Lyapunov functional |
| 本文献已被 维普 万方数据 等数据库收录！ |
