| 变时滞静态神经网络的不变集和周期吸引子 |
| |
| 引用本文： | 李翠波,王扬帆,王林山.变时滞静态神经网络的不变集和周期吸引子[J].黑龙江大学自然科学学报,2006,23(4):553-556. |
| |
| 作者姓名： | 李翠波 王扬帆 王林山 |
| |
| 作者单位： | 1. 中国海洋大学,数学系,山东,青岛,266071
2. 中国海洋大学,信息工程学院,山东,青岛,266071 |
| |
| 摘 要： | 利用M-矩阵的性质及矩阵不等式的分析技巧,研究变时滞静态神经网络的不变集、全局吸引集和全局周期吸引子.去掉了fj在R上的可微性条件以及有界性的限制,给出了较弱的判定变时滞静态神经网络的不变集、全局吸引集和全局周期吸引子的充分条件.特别的,对全局周期吸引子的存在范围进行估计.
|
| 关 键 词： | 变时滞 静态神经网络 不变集 吸引子 |
| 文章编号： | 1001-7011(2006)04-0553-04 |
| 修稿时间： | 2005年12月25 |
Invariant set and periodic attractor of static neural network with time-varying delays |
| |
| LI Cui-bo,WANG Yang-fan,WANG Lin-shan.Invariant set and periodic attractor of static neural network with time-varying delays[J].Journal of Natural Science of Heilongjiang University,2006,23(4):553-556. |
| |
| Authors: | LI Cui-bo WANG Yang-fan WANG Lin-shan |
| |
| Abstract: | The invariant set,global attractive set and global attractor of static neural network with time-varying delays are studied by using properties of M-matrix and matrix inequality technique.Without the restrictions of boundedness and differentiability of f_j on R,some sufficient criteria to distinguish the invariant set,global attractive set and global periodic attractor of static neural network with time-varying delays are derived.In Particular,an estimate on the existence range of global periodic attractor is provided. |
| |
| Keywords: | time-varying delay static neural network invariant set attractor |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
