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基于LMI的时滞细胞神经网络的全局渐近稳定性分析
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：TP183[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程]
  • 作者机构：[1]燕山大学理学院,河北秦皇岛066004
  • 相关基金：国家自然科学基金资助项目（60604004）;河北省自然科学基金资助项目（F2007000637）;国家杰出青年自然科学基金资助项目（60525303）
作者： 刘德友[1], 张建华[1], 关新平[1], 肖晓丹[1]
关键词： 时滞细胞神经网络, 线性矩阵不等式, 全局稳定, delayed cellular neural networks （ DCNNs ） , LMI （ linear matric inequality） , global stability
中文摘要：

研究了一类具有时滞的细胞神经网络的稳定性问题，利用Liapunov-Krasovskii泛函的方法，给出了时滞相关的稳定性判据．稳定性判据是以线性矩阵不等式（LMI）的形式给出，可以很容易得出时滞的上界．在得到时滞相关的稳定性判据的同时也可以得到时滞无关的稳定性判据，包含了已有文章中的很多结果．最后，数值算例说明了结果的优越性．

英文摘要：

The global asympototic stability problem of cellular neural networks with delay is investigated. A new stability condition was presented based on Liapunov-Krasovskii method, which is dependent on the size of delay. The result is given in the form of LMI（linear matric inequality） ,and the admitted tipper bound of the delay can be obtained easily. The time delay dependent and independent resuits can be obtained, which include some results in the former literature. Finally, a numerical exam- ple was given to illustrate the effectiveness of the main resttlts.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”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）,日本日本科学技术振兴机构数据库,美国应用力学评论,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:8965