期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

带有时变时滞系统的稳定性分析

Stability Analysis for Systems with Time-varying Delay
在线阅读 下载PDF
导出
摘要 该文主要研究了一类时变时滞系统的时滞领事的稳定性问题。通过构造含有三重积分项的增广Lyapunov-Krasovskii泛函,并结合积分不等式方法,得到了以线性矩阵不等式表示的稳定性判据。最后给出了数值算例,验证了该方法的有效性及具有较小的保守性。 This paper is concerned with the problem of the delay-dependent stability for systems with timevarying delay in a given interval.By constructing a new type of augmented Lyapunov-Krasovskii functional and using some integral inequalities,a new stability criterion is obtained in terms of a linear matrix inequality.Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.
作者 李月兵 周绍生
机构地区 杭州电子科技大学信息与控制研究所
出处 《杭州电子科技大学学报（自然科学版）》 2013年第4期71-74,共4页 Journal of Hangzhou Dianzi University：Natural Sciences
基金 国家自然科学基金资助项目(61273093)
关键词 时变时滞 李雅普诺夫函数 线性矩阵不等式 time-varying delay Lyapunov functional linear matrix inequality
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
  • 相关文献

参考文献13

  • 1Hart Q L. On robust stability of neutral systems with time-varying discrete delay and norm -bounded uncertainty[ J]. Au- tomatica,2004,40(6) :1 087 - 1 092.
  • 2He Y, Wang Q G, Lin C, etal. Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems[ J ]. International Journal of Robust and Nonlinear Control ,2005,15 (18) :923 -933.
  • 3Shao H Y. Improved delay-dependent stability criteria for systems with a delay varying in a range[J]. Auto-matica,2008, 44(12) :3 215 -3 218.
  • 4He Y, Wang Q G, Xie L, etal. Delay-range-dependent stability for systems with time-varying delay [ J ]. Auto-matica, 2007,43 (2) :371 - 376.
  • 5Fridman E, Shaked U. Delay-dependent stability and H-in. nity control: constant and time-varying delays [ J ]. Internation- al Journal of Control ,2003,76( 1 ) :4-8 - 60.
  • 6Du D S, Jiang B, Zhou S S. Delay-dependent robust stabilisation of uncertain discrete-time switched systems with time-va- rying state delay [ J ]. International Journal of systems science,2008,39 ( 3 ) : 305 - 313.
  • 7Wu M, He Y, She J H, etal. Delay-dependent criteria for robust stability of time-varying delay systems [ J ]. Automatica, 2004,40(8) :1 435 - 1 439.
  • 8Shao H Y. New delay-dependent stability criteria for systems with interval delay [ J ]. Automatica, 2009,45 (3) : 744 -749.
  • 9Park P, Ko J W. Stability and robust stability for systems with a time-varying delay [ J ]. Automatica,2007,43 (10) :1 855 - 1 858.
  • 10Zhou S S, Zheng W X. Robust H-in. nity control of delayed singular systems with linear fractional parametric uncertain- ties[ J]. Journal of the Franklin institute-engineering and applied mathematics,2009, (2) :147 -158.
杭州电子科技大学学报（自然科学版）
2013年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部