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不确定多时变线性系统的时滞依赖稳定性
  • ISSN号：1005-3085
  • 期刊名称：《工程数学学报》
  • 时间：0
  • 分类：TP13[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]华南理工大学自动化科学与工程学院,广州510640, [2]东莞理工学院计算机学院,东莞523808
  • 相关基金：NSFC-Guangdong Joint Foundation Key Project （U0735003）; Guangdong Province Natural Science Foundation of China Project （06105413）.
作者： 李伯忍[1,2], 胥布工[1], 史旭光[1]
关键词： Lyapunov-Krasovskii泛函, 稳定性, 时滞, 积分等式, 线性矩阵不等式(LMI), Lyapunov-Krasovskii functional, stability, delay, integral-equality, linear matrix inequality（LMI）
中文摘要：

利用积分等式,本文研究了含范数有界不确定型的多时变线性系统的时滞依赖稳定性。所用积分等式通过自由权矩阵够造得到,比现有积分不等式更优,而自由项的选取依赖于Lyapunov-Krasovskii泛函。相比之前的一些结果,文中得到的稳定性保守性更低且更一般化。

英文摘要：

This paper deals with the problem of delay-dependent stability criteria for the uncertain linear system with multiple time-varying delays by virtue of the integral-equality.The integral equality is an improved version of the usual integral inequality and is constructed with free weighting matrices.The free terms are chosen according to the derivative of the Lyapunov-Krasovskii functional.The new improved criteria are much less conservative and more general than some existing results.

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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
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  • 被引量:6741