Improved Delay-dependent Robust Stability for Uncertain Stochastic Systems with Time-varying Delay

被引：4
作者：
Yan, Zhang [1 ]
Yong, He [1 ]
Min, Wu [1 ]
机构：
[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China
来源：
PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2 | 2008年
关键词：
Uncertain stochastic systems; Robust stability; Delay-dependent; Linear matrix inequality (LMI);
D O I：
10.1109/CHICC.2008.4605195
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper deals with the problem of delay-dependent robust stability for uncertain stochastic systems with time-varying delay. Improved delay-dependent robust stability criteria are proposed without ignoring any terms by considering the relationship among the time-varying delay, its upper bound and their difference, and using both Ito's differential formula and the Lyapunov stability theory. Numerical examples demonstrate the effectiveness and the benefits of the proposed method.
引用
收藏
页码：764 / 768
页数：5
相关论文
共 16 条
[1]   Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach [J].
Chen, WH ;
Guan, ZH ;
Lu, XM .
SYSTEMS & CONTROL LETTERS, 2005, 54 (06) :547-555
[2]   Delay-dependent stability and stabilizability of uncertain jump bilinear stochastic systems with mode-dependent time-delays [J].
Guan, ZH ;
Chen, WH ;
Xu, JX .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2005, 36 (05) :275-285
[3]   Further improvement of free-weighting matrices technique for systems with time-varying delay [J].
He, Yong ;
Wang, Qing-Guo ;
Xie, Lihua ;
Lin, Chong .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (02) :293-299
[4]   Delay-dependent robust stability for uncertain linear systems with interval time-varying delay [J].
Jiang, Xiefu ;
Han, Qing-Long .
AUTOMATICA, 2006, 42 (06) :1059-1065
[5]   Delay-dependent robust H∞ control for uncertain systems with a state-delay [J].
Lee, YS ;
Moon, YS ;
Kwon, WH ;
Park, PG .
AUTOMATICA, 2004, 40 (01) :65-72
[6]   A less conservative robust stability test for linear uncertain time-delay systems [J].
Lin, C ;
Wang, QG ;
Lee, TH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (01) :87-91
[7]   An LMI-based approach for robust stabilization of uncertain stochastic systems with time-varying delays [J].
Lu, CY ;
Tsai, JSH ;
Jong, GJ ;
Su, TJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (02) :286-289
[8]   A delay-dependent stability criterion for systems with uncertain time-invariant delays [J].
Park, PG .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (04) :876-877
[9]   Delay-dependent robust stability and H∞ control for jump linear systems with delays [J].
Wu, Jing ;
Chen, Tongwen ;
Wang, Long .
SYSTEMS & CONTROL LETTERS, 2006, 55 (11) :939-948
[10]   Delay-dependent criteria for robust stability of time-varying delay systems [J].
Wu, M ;
He, Y ;
She, JH ;
Liu, GP .
AUTOMATICA, 2004, 40 (08) :1435-1439
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