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时滞细胞神经网络的全局渐近鲁棒稳定性分析
  • ISSN号：1001-506X
  • 期刊名称：《系统工程与电子技术》
  • 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（60404022）;国家杰出青年自然科学基金（60525303）;教育部重点研究项目（204014）资助课题
作者： 刘德友[1], 张建华[1], 关新平[1], 牛燕影[1], 高娟[1]
关键词： 神经网络, 稳定, 线性矩阵不等式, 时滞, neural networks, stability, LMI, time delay
中文摘要：

针对一类具有时滞的细胞神经网络系统，利用新的Lyapunov Krasovskii函数，给出了系统全局渐近鲁棒稳定的时滞相关稳定性条件。其结果以线性矩阵不等式的形式给出，可以很容易求出系统稳定的时滞上界。进而可以很容易得到时滞无关稳定性结果，且该结果包含了现有文献中许多关于时滞无关稳定性分析的结果。数值算例说明了结论的有效性。

英文摘要：

The global asymptotic robust stability problem of cellular neural networks（CNNs） with delays is investigated. A new stability condition is present based on Lyapunov Krasovskii method, which is dependent on the size of delays. The results are given in the form of LMI, and the admitted upper bound of the delay can be obtained easily. The time delay independent results can be get, which include some results in the former literature. Finally, a numerical example is given to illustrate the effectiveness of the main results.

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期刊信息
  • 《系统工程与电子技术》
  • 北大核心期刊（2011版）
  • 主管单位:中国航天科工集团公司
  • 主办单位:中国航天科工防御技术研究院 中国宇航学会 中国系统工程学会
  • 主编：施荣
  • 地址：北京142信箱32分箱
  • 邮编：100854
  • 邮箱：xtgcydzjs@126.com
  • 电话：010-68388406
  • 国际标准刊号：ISSN：1001-506X
  • 国内统一刊号：ISSN：11-2422/TN
  • 邮发代号:82-269
  • 获奖情况:
  • 全国中文核心期刊,全国优秀科技期刊,中国科技论文统计用刊,中国期刊方阵“双百”期刊
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  • 被引量:34341