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一类随机时滞神经网络的牵制同步
  • ISSN号：1005-3085
  • 期刊名称：《工程数学学报》
  • 时间：0
  • 分类：O231.3[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]兰州工业学院基础学科部,甘肃兰州730050
  • 相关基金：国家自然科学基金（10531030）
作者： 何韬[1]
关键词： 牵制机制, 同步控制, 随机神经网络, LYAPUNOV函数, pinning mechanism, synchronization control, stochastic neural network, Lyapunov function
中文摘要：

运用Lyapunov函数方法和矩阵不等式理论,一类随机时滞神经网络的牵制同步解的全局渐进稳定性得到分析.在这类问题中,时滞是时变的,随机因素是有界的.相关结论不仅建立了一些容易验证的条件,并且给出了一个方法可以弥补原本不能实现牵制同步的神经网络的缺陷,使各个结点达到同步状态.

英文摘要：

By applying Lyapunov functional method and matrix inequality theory,the globally asymptotic stability of the pinning synchronous solution of stochastic neural networks with time delays is analyzed.The delays are time-invariant,and the random factors are norm bounded.Not only are some easily verifiable conditions established,but also a feasible way is given to offset the limitation of neural network in order to reach synchronization under pinning control.

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期刊信息
  • 《工程数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:教育部
  • 主办单位:西安交通大学
  • 主编：李大潜
  • 地址：西宁市咸宁西路28号西安交通大学数学与统计学院
  • 邮编：710049
  • 邮箱：jgsx@mail.xjtu.edu.cn
  • 电话：029-82667877
  • 国际标准刊号：ISSN：1005-3085
  • 国内统一刊号：ISSN：61-1269/O1
  • 邮发代号:
  • 获奖情况:
  • 《中文核心期刊要目总览》核心期刊,《中国科学引文数据库》核心期刊,《中国数学文摘》核心期刊,陕西省优秀科技期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6741