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| 非自治变时滞Cohen-Grossberg网络的Lagrange稳定性和全局指数吸引集 | |
| 引用本文： | 王晓红,江明辉,张婷. 非自治变时滞Cohen-Grossberg网络的Lagrange稳定性和全局指数吸引集[J]. 纯粹数学与应用数学, 2010, 26(2): 275-282. DOI: 10.3969/j.issn.1008-5513.2010.02.016 |
| 作者姓名： | 王晓红 江明辉 张婷 |
| 作者单位： | 三峡大学理学院,湖北,宜昌,443002;三峡大学理学院,湖北,宜昌,443002;三峡大学理学院,湖北,宜昌,443002 |
| 基金项目： | 国家自然科学基金，湖北省教育厅自然科学基金，湖北省自然科学基金，湖北省教育厅优秀中青年科技创新团队计划项目 |
| 摘 要： | 基于考虑两种不同类型的激活函数,本文研究了非自治变时滞Cohen-Grossberg神经网络（CGNN）在Lagrange意义下的全局指数稳定性,通过利用新的不等式技巧和构造恰当的Lyapunov泛函给出非自治变时滞CGNN模型在Lagrange意义下全局指数稳定性（即一致有界性）以及对其全局指数吸引集估计的代数判据,并给出应用例子加以验证. |
| 关 键 词： | 变时滞 Lagrange稳定性 全局指数吸引集 非自治CGNN |
Lagrange stability and global exponential attractive sets of non-autonomous Cohen-Grossberg neural network with time-varying delays |
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| WANG Xiao-hong,JIANG Ming-hui,ZHANG Ting. Lagrange stability and global exponential attractive sets of non-autonomous Cohen-Grossberg neural network with time-varying delays[J]. Pure and Applied Mathematics, 2010, 26(2): 275-282. DOI: 10.3969/j.issn.1008-5513.2010.02.016 | |
| Authors: | WANG Xiao-hong JIANG Ming-hui ZHANG Ting |
| Affiliation: | WANG Xiao-hong,JIANG Ming-hui,ZHANG Ting(College of Science,Three Gorges University,Yichang,Hubei 443002,China) |
| Abstract: | In this paper,based on two different kinds of activation functions,the global exponential stability in Lagrange sense is studied for Non-autonomous Cohen-Grossberg neural network with time-varying delays.Algebraic criteria are given for the global exponential stability in Lagrange sense and detailed estimation of global exponential attractive sets by constructing suitable Lyapunov function.An illustrate example is given to verify the obtained results. |
| Keywords: | time-varying delays Lagrange stability global exponential attractive set non-autonomous CGNN |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |