Delay-Range-Dependent Robust Exponential Stabilization for Uncertain System with Mode-Dependent Time Delays and Markovian Jump Parameters

被引：0

作者：

Qiu, Jiqing ^{[1
]}

Lu, Kunfeng ^{[1
]}

Li, Li ^{[1
]}

机构：

[1] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Peoples R China

来源：

CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS | 2009年

关键词：

Exponential Mean-Square Stable; Mode-Dependent Delays; Linear Matrix Inequalities (LMIs); Markovian Jumping System; Uncertain Systems; Norm-Bounded Uncertainties; H-INFINITY CONTROL; NEURAL-NETWORKS; LINEAR-SYSTEMS; STABILITY;

D O I：

暂无

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 is concerned with the problem of robust exponential stabilization for uncertain system with mode-dependent time delays and Markovian jump parameters. The delay factor is assumed to be time-varying and belongs to a given interval. The uncertainties considered in this paper are norm-bounded and possibly time-varying. A new state feedback controller with uncertain Markovian jump parameters is also designed such that the closed-loop systems are exponentially mean-square stable for all admissible uncertainties. By Lyapunov-Krasovskii functional approach, a new delay-dependent stability criteria for the exponential stability of uncertain linear system with mode-dependent time delays and Markovian jump Parameters is derived in terms of linear matrix inequalities(LMIs). A numerical example is given to illustrate the effectiveness of the method.

引用

页码：93 / 98

页数：6

共 50 条

[41] Delay-range-dependent stabilization of uncertain dynamic systems with interval time-varying delays
Kwon, O. M.
Park, Ju H.
APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (01) : 58 - 68
[42] Exponential Stabilization of Markov Jump Systems with Mode-Dependent Mixed Time-Varying Delays and Unknown Transition Rates
Cui, Kaiyan
Zhu, Jianfeng
Li, Chenlong
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2019, 38 (10) : 4526 - 4547
[43] Passivity analysis and passification of uncertain Markovian jump systems with partially known transition rates and mode-dependent interval time-varying delays
Luo, Mengzhuo
Zhong, Shouming
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (07) : 1266 - 1278
[44] Stochastic admissibility for a class of singular Markovian jump systems with mode-dependent time delays
Long, Shaohua
Zhong, Shouming
Liu, Zijian
APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (08) : 4106 - 4117
[45] Fault detection for a class of uncertain nonlinear Markovian jump stochastic systems with mode-dependent time delays and sensor saturation
Zhuang, Guangming
Li, Yongmin
Li, Ze
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2016, 47 (07) : 1514 - 1532
[46] Delay Dependent Robust Stabilization for Systems With Uncertain Time Varying Delays
Tissir, El Houssaine
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2010, 132 (05): : 1 - 7
[47] Reachable set estimation for neutral Markovian jump systems with mode-dependent time-varying delays
Jiang, Xiangli
Xia, Guihua
Feng, Zhiguang
Jiang, Zhengyi
OPTIMAL CONTROL APPLICATIONS & METHODS, 2021, 42 (01) : 195 - 215
[48] Mean-square exponential stability of uncertain Markovian jump systems with mode-dependent time delays: a distinct Lyapunov matrices-based approach
Huang, H.
Feng, G.
Chen, X.
IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (18) : 2842 - 2850
[49] Delay-dependent robust stability of stochastic uncertain systems with time delay and Markovian jump parameters
Yue, D
Fang, J
Won, S
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2003, 22 (04) : 351 - 365
[50] H∞ Filtering for Markovian Switching System with Mode-Dependent Time-Varying Delays
Balasubramaniam, P.
Revathi, V. M.
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (02) : 347 - 369

← 1 2 3 4 5 →