Stochastic stability analysis of integral non-homogeneous Markov jump systems

被引:16
作者
Yin, Yanyan [1 ,2 ]
Zhu, Lijie [1 ]
Zeng, Hongbing [3 ]
Liu, Yanqing [1 ]
Liu, Fei [1 ]
机构
[1] Jiangnan Univ, Inst Automat, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi, Peoples R China
[2] Curtin Univ, Dept Math & Stat, Perth, WA, Australia
[3] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou, Peoples R China
关键词
Markov jump systems; time delay; non-homogeneous jump; nonlinear; VARYING DELAY SYSTEMS; TIME-DELAY; H-INFINITY; DISTRIBUTED DELAY; STABILIZATION; PARAMETERS;
D O I
10.1080/00207721.2017.1410252
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 investigates the problem of stability analysis for time-delay integral Markov jump systems with time-varying transition rates. Some free-weight matrices are addressed and sufficient conditions are established under which the system is stochastically stable. The bound of delay is larger than those in other results obtained, which guarantees that the proposed conditions are tighter. Numerical examples show the effectiveness of the method proposed.
引用
收藏
页码:479 / 485
页数:7
相关论文
共 25 条
  • [1] Benjelloun K, 1998, IEEE T AUTOMAT CONTR, V43, P1456, DOI 10.1109/9.720508
  • [2] Output feedback control of Markov jump linear systems in continuous-time
    de Farias, DP
    Geromel, JC
    do Val, JBR
    Costa, OLV
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (05) : 944 - 949
  • [3] Ding Y., 2016, OPTIMAL CONTROL APPL, V38, P133
  • [4] Stability analysis of continuous-time Markovian jump time-delay systems with time-varying transition rates
    Ding, Yucai
    Liu, Hui
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (11): : 2418 - 2430
  • [5] Robust H∞ Filtering for Markovian Jump Systems With Randomly Occurring Nonlinearities and Sensor Saturation: The Finite-Horizon Case
    Dong, Hongli
    Wang, Zidong
    Ho, Daniel W. C.
    Gao, Huijun
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2011, 59 (07) : 3048 - 3057
  • [6] Saturated control of an uncertain nonlinear system with input delay
    Fischer, N.
    Dani, A.
    Sharma, N.
    Dixon, W. E.
    [J]. AUTOMATICA, 2013, 49 (06) : 1741 - 1747
  • [7] Further Results on Exponential Estimates of Markovian Jump Systems With Mode-Dependent Time-Varying Delays
    Gao, Huijun
    Fei, Zhongyang
    Lam, James
    Du, Baozhu
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (01) : 223 - 229
  • [8] Non-fragile finite-time filter design for time-delayed Markovian jumping systems via T-S fuzzy model approach
    He, Shuping
    Xu, Huiling
    [J]. NONLINEAR DYNAMICS, 2015, 80 (03) : 1159 - 1171
  • [9] Stochastic stability and robust stabilization of semi-Markov jump linear systems
    Huang, Ji
    Shi, Yang
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (18) : 2028 - 2043
  • [10] New Results on H∞ Filter Design for Nonlinear Systems With Time Delay via T-S Fuzzy Models
    Huang, Sheng-Juan
    He, Xi-Qin
    Zhang, Ning-Ning
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2011, 19 (01) : 193 - 199