首页 | 本学科首页   官方微博 | 高级检索  
     

混合时滞不确定中立系统鲁棒稳定的时滞分割方法
引用本文:李涛,张合新,孟飞.混合时滞不确定中立系统鲁棒稳定的时滞分割方法[J].控制与决策,2011,26(1):106-110.
作者姓名:李涛  张合新  孟飞
作者单位:第二炮兵工程学院自动化系,西安,710025
摘    要:研究了一类同时具有离散与分布时滞的不确定中市型系统的鲁棒稳定性问题.基于时滞分割思想,通过构造一类特殊的Lyapunov-Krasovskii泛函,并利用Jensen不等式,建立了线性矩阵不等式形式的时滞相关鲁棒稳定性新判据.该方法不涉及模型变换与自由权矩阵技术,减少了理论与计算上的复杂性;同时允许中立时滞项的系数矩阵...

关 键 词:Lyapunov-Krasovskii泛函  时滞分割  鲁棒稳定  线性矩阵不等式  Jensen不等式
收稿时间:2010/3/25 0:00:00
修稿时间:2010/8/8 0:00:00

Delay-partitioning approach to robust stability of uncertain neutral system with mixed delays
LI Tao,ZHANG He-xin,MENG Fei.Delay-partitioning approach to robust stability of uncertain neutral system with mixed delays[J].Control and Decision,2011,26(1):106-110.
Authors:LI Tao  ZHANG He-xin  MENG Fei
Affiliation:(Department of Automation, Second Artillery Engineering College, Xi’an 710025, China.)
Abstract:

This paper studies the robust stability of the uncertain neutral system with discrete and distributed delays.
By constructing a special Lyapunov-Krasovskii functional based on delay-partitioning and using the Jensen inequality
technology, a new delay-dependent robust stability criterion for the system is formulated in terms of linear matrix
inequalities(LMIs). The proposed approach involves neither model transformation nor free-weighting matrix, so the
complexity both in theory and in computation can be reduced. And time-varying uncertainty is allowed in the coefficients
of the neutral delay term, which improves the robust performance of the neutral system. Numerical examples show the
effectiveness and less conservatism of the results.

Keywords:

Lyapunov-Krasovskii functional|delay-partitioning|robust stability|linear matrix inequality (LMI)|Jensen inequality

本文献已被 CNKI 万方数据 等数据库收录!
点击此处可从《控制与决策》浏览原始摘要信息
点击此处可从《控制与决策》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号