Delay-Dependent Robust Stability of Stochastic Uncertain Systems with Time Delay and Markovian Jump Parameters

被引：0

作者：

Dong Yue

Jian’an Fang

Sangchul Won

机构：

[1] Department of Control Science and Engineering,

[2] Nanjing Normal University,undefined

[3] Bancang Street,undefined

[4] No. 78,undefined

[5] 210042,undefined

[6] Nanjing,undefined

[7] Jiangsu,undefined

[8] College of Information Science and Technology,undefined

[9] Donghua University,undefined

[10] Shanghai,undefined

[11] Steel Processing Automation Research Center (SPARC),undefined

[12] Pohang University of Science and Technology,undefined

[13] SAN 31,undefined

[14] HYOJA-DONG,undefined

[15] NAM-GU,undefined

[16] Pohang 790-784,undefined

来源：

Circuits, Systems and Signal Processing | 2003年 / 22卷 / 4期

关键词：

Time Delay; Markov Process; Stability Criterion; Linear Matrix Inequality; Linear Matrix;

D O I：

10.1007/s00034-004-7036-y

中图分类号：

学科分类号：

摘要：

This paper is concerned with the delay-dependent stability for a class of stochastic uncertain systems with time delay and Markovian jump parameters. The uncertainties considered in this paper are norm-bounded and governed by the Markov process. Un like the topics in the existing literature, the stability criterion is expressed in terms of linear matrix inequalities, which can be efficiently solved by using a convex-optimization algorithm. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

引用

页码：351 / 365

页数：14

共 50 条

[31] A delay-dependent robust stability criterion for uncertain time-delay systems
Park, P
Moon, YS
Kwon, WH
PROCEEDINGS OF THE 1998 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1998, : 1963 - 1964
[32] Delay-dependent Sliding Mode Control for Mismatched Uncertain Markovian Jump Systems with Time-Delay
He, Youguo
Wang, Shugang
Yan, Ming
Jing, Yuanwei
2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 1117 - +
[33] Delay-dependent Sliding Mode Control for Matched Uncertain Markovian Jump Systems with Time-Delay
He, Youguo
Liu, Yang
Yi, Jinhui
Jing, Yuanwei
An, Yaliang
CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 4849 - +
[34] Delay-dependent robust H∞ control for uncertain stochastic time-delay systems
Yang, Rongni
Gao, Huijun
Shi, Peng
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (16) : 1852 - 1865
[35] Delay-dependent stochastic stability of delayed Hopfield neural networks with Markovian jump parameters
Lou, Xuyang
Cui, Baotong
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) : 316 - 326
[36] Delay-dependent robust H∞ control for nonlinear uncertain stochastic systems with time delay
Shi, Peiyu
Jia, Huiran
Xing, Zirui
2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 3285 - 3290
[37] Delay-dependent robust stability of stochastic systems with time delay and nonlinear uncertainties
Yue, D
Won, S
ELECTRONICS LETTERS, 2001, 37 (15) : 992 - 993
[38] Delay-Dependent Stochastic Stability and H∞-Control of Uncertain Neutral Stochastic Systems With Time Delay
Chen, Wu-Hua
Zheng, Wei Xing
Shen, Yanjun
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (07) : 1660 - 1667
[39] Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay
Mao, Weihua
Deng, Feiqi
Wan, Anhua
JOURNAL OF APPLIED MATHEMATICS, 2012,
[40] ROBUST STOCHASTIC STABILITY FOR A CLASS OF SINGULAR SYSTEMS WITH UNCERTAIN MARKOVIAN JUMP AND TIME-VARYING DELAY
Long, Shaohua
Zhong, Shouming
Liu, Zijian
ASIAN JOURNAL OF CONTROL, 2013, 15 (04) : 1102 - 1111

← 1 2 3 4 5 →