Stabilization for Markovian Jump Systems with Additive Time-varying Delays

被引：0
|
作者：
Zhang, Haiyang [1 ]
Qiu, Zhipeng [1 ]
Xiong, Lianglin [2 ]
Wang, Yanmeng [3 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China
[2] Yunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650500, Yunnan, Peoples R China
[3] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 210016, Peoples R China
来源：
PROCEEDINGS OF THE 2017 2ND INTERNATIONAL CONFERENCE ON ELECTRICAL, CONTROL AND AUTOMATION ENGINEERING (ECAE 2017) | 2017年 / 140卷
关键词：
markovian jump systems; additive time-varying delays; stochastically stabilization; linear matrix inequalities; H-INFINITY CONTROL; DEPENDENT ROBUST STABILITY; NEURAL-NETWORKS; NEUTRAL SYSTEMS; LINEAR-SYSTEMS; COMPONENTS; CRITERIA; STATE;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the problem of stabilization for Markovian jump systems with additive time-varying delays is considered. First of all, by constructing a new Lyapunov functional with triple integral terms, using new inequalities, convex combination technique and combining with other analytical techniques, the stochastically stability and stabilization conditions of the Markovian jump systems in terms of linear matrix inequalities with lower conservatism are obtained. Then, the controller of the closed-loop system is designed by the transformation technique of inequalities. Finally, a numerical example is given to verify the effectiveness of the provided method and the superiority of the results.
引用
收藏
页码：332 / 338
页数：7
相关论文
共 50 条
  • [1] Stabilization for Markovian Jump Systems with Additive Time-varying Delays
    Zhang, Haiyang
    Qiu, Zhipeng
    Xiong, Lianglin
    Jiang, Guanghao
    Peng, Chen
    [J]. IECON 2017 - 43RD ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY, 2017, : 3122 - 3127
  • [2] Robust Stabilization for Markovian Jump Delta Operator Systems with Time-Varying Delays
    Chen, Yinyin
    Xiao, Minqing
    [J]. PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, SIMULATION AND MODELLING, 2016, 41 : 382 - 386
  • [3] Stochastic admissibility and stabilization of singular Markovian jump systems with multiple time-varying delays
    Baoping Jiang
    Cunchen Gao
    Yonggui Kao
    [J]. International Journal of Control, Automation and Systems, 2016, 14 : 1280 - 1288
  • [4] Stochastic Admissibility and Stabilization of Singular Markovian Jump Systems with Multiple Time-varying Delays
    Jiang, Baoping
    Gao, Cunchen
    Kao, Yonggui
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2016, 14 (05) : 1280 - 1288
  • [5] H∞ FILTERING FOR MARKOVIAN JUMP SYSTEMS WITH TIME-VARYING DELAYS
    Liu, Jinliang
    Gu, Zhou
    Hu, Songlin
    [J]. INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2011, 7 (03): : 1299 - 1310
  • [6] H∞ filtering for Markovian jump systems with time-varying delays
    Liu, Jinliang
    Yan, Ruixia
    Han, Hua
    Hu, Songlin
    Hu, Yifan
    [J]. 2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 1249 - +
  • [7] H∞ controller design for discrete-time Markovian jump systems with additive time-varying delays
    Xia, Weifeng
    Zheng, Wei Xing
    Zhang, Baoyong
    [J]. 2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 1308 - 1313
  • [8] Stabilization of singular Markovian jump systems with time-varying switchings
    Wang, Guoliang
    Zhang, Qingling
    Yang, Chunyu
    [J]. INFORMATION SCIENCES, 2015, 297 : 254 - 270
  • [9] A novel memory stabilization controller design for descriptor Markovian jump systems with time-varying delays
    Zhi, Ya-Li
    Chen, Liuwen
    He, Shuping
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (17): : 13414 - 13429
  • [10] Robust stabilization for uncertain discrete-time singular Markovian jump systems with time-varying delays
    Chen, Wenbin
    Gao, Fang
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2024, 18 (08): : 987 - 997
12345