New Delay-dependent Robust Stability Criterion for Uncertain Stochastic Systems with Time-varying Delays

被引：0

作者：

Wang, Cheng ^{[1
]}

机构：

[1] Huanggang Normal Univ, Huanggang 438000, Hubei, Peoples R China

来源：

ADVANCED BUILDING MATERIALS AND STRUCTURAL ENGINEERING | 2012年 / 461卷

关键词：

Stochastic system; delay-dependent; robust stability; linear matrix inequality;

D O I：

10.4028/www.scientific.net/AMR.461.633

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

The problem of delay-dependent robust stability of uncertain stochastic systems with time-varying delay is discussed in this paper. Based on the Lyapunov-Krasovskii theory and free-weighting matrix technique, new delay-dependent stability criterion is presented. The criterion is in terms of linear matrix inequality (LMI) which can be solved by various available algorithms.

引用

页码：633 / 636

页数：4

共 6 条

[1] Some new results on the asymptotic stability of uncertain dynamical systems with time-varying delay [J].

Chen, WY .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2002, 33 (11) :917-921

[2] New stability criterion of uncertain systems with time-varying delay [J].

Liu, XW ;

Zhang, HB .

CHAOS SOLITONS & FRACTALS, 2005, 26 (05) :1343-1348

[3] Novel stability criterion of time delay systems with nonlinear uncertainties [J].

Park, JH ;

Kwon, O .

APPLIED MATHEMATICS LETTERS, 2005, 18 (06) :683-688

[4] 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

[5] Stabilization of a class of uncertain large-scale stochastic systems with time delays [J].

Xie, SL ;

Xie, LH .

AUTOMATICA, 2000, 36 (01) :161-167

[6] Robust H∞ control for uncertain stochastic systems with state delay [J].

Xu, SY ;

Chen, TW .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (12) :2089-2094

← 1 →