Delay-dependent Stability Criteria for Systems with Distributed and Interval Time-varying Delays

被引:0
作者
Wang, Cheng [1 ]
Zhang, Qing [1 ]
Gan, Jianping [2 ]
机构
[1] Huanggang Normal Univ, Coll Math & Comp Sci, Huanggang 438000, Peoples R China
[2] Huanggang Normal Univ, Inst Demog Ecol & Resources Management, Huanggang 438000, Peoples R China
来源
INFORMATION TECHNOLOGY APPLICATIONS IN INDUSTRY, PTS 1-4 | 2013年 / 263-266卷
关键词
Time-delay; Stability; Distributed delay; Linear matrix inequality(LMI); ROBUST STABILITY;
D O I
10.4028/www.scientific.net/AMM.263-266.1265
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper deals with the robust stability problem of distributed systems with interval time-varying delays. The key features of the approach include the introduction of suitable Lyapunov-Krasovskii functional and use of tighter bounding technology. A delay-dependent stability criterion is derived by using linear matrix inequality (LMI) techniques without using either free weighting matrices or model transformation. The criterion can be efficiently solved with available computational software.
引用
收藏
页码:1265 / +
页数:3
相关论文
共 8 条
[1]   An improved stabilization method for linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1931-1937
[2]   An improved stability criterion for systems with distributed delays [J].
Gu, KQ .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2003, 13 (09) :819-831
[3]   Further remarks on additional dynamics in various model transformations of linear delay systems [J].
Gu, KQ ;
Niculescu, SI .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (03) :497-500
[4]   A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays [J].
Han, QL .
AUTOMATICA, 2004, 40 (10) :1791-1796
[5]   Delay-range-dependent stabilization of uncertain dynamic systems with interval time-varying delays [J].
Kwon, O. M. ;
Park, Ju H. .
APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (01) :58-68
[6]   Improved delay-dependent robust stability criteria for uncertain systems with interval time-varying delay [J].
Peng, C. ;
Tian, Y. -C .
IET CONTROL THEORY AND APPLICATIONS, 2008, 2 (09) :752-761
[7]   Improved delay-dependent robust stability criteria for uncertain time delay systems [J].
Wang, Cheng ;
Shen, Yi .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (06) :2880-2888
[8]   Global exponential stability conditions for generalized state-space systems with time-varying delays [J].
Yu, Ker-Wei ;
Lien, Chang-Hua .
CHAOS SOLITONS & FRACTALS, 2008, 36 (04) :920-927