Complete LKF approach to stabilization for linear time-delay systems

被引:0
|
作者
Zhang, Ziye [1 ,2 ]
Lin, Chong [1 ]
Chen, Bing [1 ]
机构
[1] Qingdao Univ, Inst Complex Sci, Qingdao 266071, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Sci, Qingdao 266590, Peoples R China
关键词
Time-delay systems; stabilization; complete LKF; S FUZZY-SYSTEMS; DEPENDENT STABILITY; INEQUALITY;
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 stability analysis and stabilization for linear time-delay systems with interval time-varying input delay. By using an augmented complete Lyapunov-Krasovskii functional (LKF) and the reciprocally convex combination inequality, we establish new stability and stabilization criteria in terms of linear matrix inequalities (LMIs) and the present method leads to some significant improvements over existing results. Moreover, the main feature of this work lies in that the present results are applicable for time-delay systems with unstable delay-free case. Three numerical examples are given to show the effectiveness and merits of the present results.
引用
收藏
页码:6456 / 6460
页数:5
相关论文
共 50 条
  • [1] Complete LKF approach to stabilization for linear systems with time-varying input delay
    Zhang, Ziye
    Lin, Chong
    Chen, Bing
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (06): : 2425 - 2440
  • [2] Improved stability criteria for linear time-delay systems using complete LKF method
    Zhang, Ziye
    Lin, Chong
    Chen, Bing
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 45 - 48
  • [3] New stability criteria for linear time-delay systems using complete LKF method
    Zhang, Ziye
    Lin, Chong
    Chen, Bing
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (02) : 377 - 384
  • [4] A GENERALIZED APPROACH TO STABILIZATION OF LINEAR INTERCONNECTED TIME-DELAY SYSTEMS
    Mahmoud, Magdi S.
    Xia, Yuanqing
    ASIAN JOURNAL OF CONTROL, 2012, 14 (06) : 1539 - 1552
  • [5] Linear time-delay systems: the complete type functionals approach
    Mondie, Sabine
    Gomez, Marco A.
    REVISTA IBEROAMERICANA DE AUTOMATICA E INFORMATICA INDUSTRIAL, 2022, 19 (04): : 381 - 393
  • [6] Stabilization for switched linear systems with time-delay
    Jing, L
    Wang, K
    Gao, LQ
    Li, JS
    8TH WORLD MULTI-CONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL VIII, PROCEEDINGS: CONTROL, COMMUNICATION AND NETWORK SYSTEMS, TECHNOLOGIES AND APPLICATIONS, 2004, : 316 - 319
  • [7] STABILIZATION OF A CLASS OF LINEAR TIME-DELAY SYSTEMS
    THOWSEN, A
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1981, 12 (12) : 1485 - 1492
  • [8] On the stabilization of uncertain linear time-delay systems
    Cao, Dengqing
    Kongzhi yu Juece/Control and Decision, 1995, 10 (02):
  • [9] An eigenvalue based approach for the robust stabilization of linear time-delay systems
    Michiels, W
    Roose, D
    INTERNATIONAL JOURNAL OF CONTROL, 2003, 76 (07) : 678 - 686
  • [10] Improved stability and stabilization approach to linear interconnected time-delay systems
    Mahmoud, Magdi S.
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2010, 31 (02): : 81 - 92