| 一类带有混合时滞的神经网络全局渐进稳定分析 |
| |
| 引用本文： | 宫大为,王占山,黄博南. 一类带有混合时滞的神经网络全局渐进稳定分析[J]. 东北大学学报(自然科学版), 2011, 32(6): 773-776,785. DOI: - |
| |
| 作者姓名： | 宫大为 王占山 黄博南 |
| |
| 作者单位： | 东北大学信息科学与工程学院,辽宁沈阳,110819 |
| |
| 基金项目： | 国家自然科学基金资助项目(50977008,61074073,61034005); 国家高技术研究发展计划项目(2009AA04Z127) |
| |
| 摘 要： | 针对一类具有离散和无穷分布时滞的神经网络模型,通过构造新的Lyapunov函数,解决了含有无穷分布时滞的系统稳定问题,给出了全局渐近稳定的充分条件.首次以Hadamard乘积将系统用向量形式表示,并用线性矩阵不等式表示所得结果,稳定判据不依赖于时间延迟大小,不要求神经元激励函数的有界性、可微性,只与连接矩阵和延迟的导数...
|
| 关 键 词： | 神经网络 无穷分布时滞 渐近稳定 线形矩阵不等式(LMI) Lyapunov函数 |
Global Asymptotic Stability of Generalized Neural Networks with Infinite Distributed Delays |
| |
| GONG Da-wei,WANG Zhan-shan,HUANG Bo-nan. Global Asymptotic Stability of Generalized Neural Networks with Infinite Distributed Delays[J]. Journal of Northeastern University(Natural Science), 2011, 32(6): 773-776,785. DOI: - |
| |
| Authors: | GONG Da-wei WANG Zhan-shan HUANG Bo-nan |
| |
| Affiliation: | GONG Da-wei,WANG Zhan-shan,HUANG Bo-nan(School of Information Science & Engineering,Northeastern University,Shenyang 110819,China.) |
| |
| Abstract: | This paper investigates the global asymptotic stability of the neural networks with discrete and infinite distributed delays.Without assuming the boundedness and differentiability of neuron activation function,a new criteria is proposed by way of constructing a suitable Lyapunov function.Using Hadamard product,a vector-matrix form of neural networks with infinite distributed delays is obtained.It solves the problem with infinite distributed delays only by imposing constraints on the interconnected matrices ... |
| |
| Keywords: | neural networks infinite distributed delays asymptotic stability linear matrix inequalities(LMI) Lyapunov function |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《东北大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《东北大学学报(自然科学版)》下载全文 |
