DELAY-DEPENDENT STABILITY ANALYSIS FOR DISCRETE-TIME SYSTEMS WITH TIME VARYING STATE DELAY

被引：8
|
作者：
Stojanovic, Sreten B. [1 ]
Debeljkovic, Dragutin L. J. [2 ]
机构：
[1] Univ Nis, Fac Technol, Leskovac, Serbia
[2] Univ Belgrade, Fac Mech Engn, Dept Control Engn, Belgrade, Serbia
来源：
CHEMICAL INDUSTRY & CHEMICAL ENGINEERING QUARTERLY | 2011年 / 17卷 / 04期
关键词：
time-delay systems; interval time-varying delay; asymptotic stability; delay-dependent stability; Lyapunov method; H-INFINITY CONTROL; ROBUST STABILITY; DYNAMIC-SYSTEMS; STABILIZATION; CRITERION;
D O I：
10.2298/CICEQ110621035S
中图分类号：
O69 [应用化学];
学科分类号：
081704 ;
摘要：
The stability of discrete systems with time-varying delay is considered. Some sufficient delay-dependent stability conditions are derived using an appropriate model transformation of the original system. The criteria are presented in the form of LMI, which are dependent on the minimum and maximum delay bounds. It is shown that the stability criteria are approximately the same conservative as the existing ones, but have much simpler mathematical form. The numerical example is presented to illustrate the applicability of the developed results.
引用
下载
收藏
页码：497 / 504
页数：8
相关论文
共 50 条
  • [41] New Delay-dependent Robust Stability of Discrete Singular Systems with Time-varying Delay
    Du, Zhaoping
    Qiu, Zhanzhi
    Zhang, Qingling
    Liu, Lili
    2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 6359 - +
  • [42] A Delay Decomposition Approach to Stability Analysis of Discrete-Time Systems with Time-Varying Delay
    Zhu, Xun-Lin
    Yang, Guang-Hong
    2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 5465 - +
  • [43] NEW DELAY-DEPENDENT ROBUST STABILITY OF DISCRETE SINGULAR SYSTEMS WITH TIME-VARYING DELAY
    Du, Zhaoping
    Zhang, Qingling
    Liu, Lili
    ASIAN JOURNAL OF CONTROL, 2011, 13 (01) : 136 - 147
  • [44] Delay-Dependent Exponential Stability of Discrete-Time BAM Neural Networks with Time Varying Delays
    Zhang, Rui
    Wang, Zhanshan
    Feng, Jian
    Jing, Yuanwei
    ADVANCES IN NEURAL NETWORKS - ISNN 2009, PT 1, PROCEEDINGS, 2009, 5551 : 440 - 449
  • [45] Delay Distribution Dependent Stability Criteria for Discrete-Time Systems with Interval Time-Varying Delay
    Xiao, Nan
    Jia, Yingmin
    Matsuno, Fumitoshi
    2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 1733 - 1738
  • [46] A PARAMETERIZED DELAY-DEPENDENT CONTROL OF SWITCHED DISCRETE-TIME SYSTEMS WITH TIME-DELAY
    Saif, Abdul Wahed
    Mahmoud, Magdi S.
    Shi, Yan
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2009, 5 (09): : 2893 - 2906
  • [47] Delay-Dependent Stability for Neutral Systems with Time-Varying Delay
    Bai Lei
    Xiao Shen-Ping
    Zeng Hong-Bing
    2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 540 - 543
  • [48] Delay-dependent H∞ filtering of Discrete-time Systems with Time-invariant Delay
    Dong, Liang
    Ge, Gang
    Wang, Jianhui
    Liu, Wenwei
    CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 4079 - 4083
  • [49] Delay-dependent stability analysis for discrete-time switched linear systems with parametric uncertainties
    Baleghi, Nasrollah Azam
    Shafiei, Mohammad Hossein
    JOURNAL OF VIBRATION AND CONTROL, 2018, 24 (20) : 4921 - 4930
  • [50] Stability analysis for uncertain switched neutral systems with discrete time-varying delay: A delay-dependent method
    Liu, Duyu
    Zhong, Shouming
    Liu, Xinzhi
    Huang, Yuanqing
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 80 (02) : 436 - 448
12345