Positivity analysis for discrete-time descriptor systems with time delays

被引：0
|
作者：
Zhang, Youmei [1 ]
Zhang, Qingling [1 ]
Tanaka, Tamaki [2 ]
Meng, Xinyou [3 ]
Lv, Hui [1 ]
机构：
[1] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Peoples R China
[2] Niigata Univ, Grad Sch Sci & Technol, Niigata 9502181, Japan
[3] Lanzhou Univ Technol, Coll Sci, Lanzhou 730050, Peoples R China
来源：
2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年
关键词：
Positive systems; Singular systems; Linear systems; Time delay; STABILITY ANALYSIS;
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 positivity analysis for discrete-time descriptor systems with time delays. At first, an explicit solution of such systems is given by using z-transform and inverse z-transform. Then, a set of necessary and sufficient conditions for positivity of discrete-time descriptor systems with time delays is presented under some conditions. In addition, based on the obtained conditions for positivity, systems with strictly positive state variables are concerned. Necessary and sufficient conditions to check strict positivity of state variables are obtained. Finally, an example is given to illustrate the effectiveness of the obtained results.
引用
收藏
页码：2530 / 2535
页数：6
相关论文
共 50 条
  • [31] Stability analysis of discrete-time systems with additive time-varying delays
    Tang X.-M.
    Yu J.-S.
    International Journal of Automation and Computing, 2010, 7 (02) : 219 - 223
  • [32] Stability Analysis of Discrete-Time Linear Time Varying Switched Systems with Delays
    Liu, Xingwen
    Chen, Hao
    IFAC PAPERSONLINE, 2017, 50 (01): : 3435 - 3441
  • [33] Stability Analysis of Discrete-time Systems with Additive Time-varying Delays
    Xian-Ming Tang Jin-Shou Yu Research Institute of Automation
    International Journal of Automation & Computing, 2010, (02) : 219 - 223
  • [34] Stability analysis of Discrete-time Switched systems with Time-varying Delays
    Wang, Na
    Huang, Qing-zhen
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 3988 - 3993
  • [35] Stability Analysis for Discrete-Time Switched Systems With Time-Varying Delays
    Shi, Shuang
    Yang, Liu
    Ren, Shunqing
    Fei, Zhongyang
    PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 1730 - 1735
  • [36] Passivity analysis of uncertain discrete-time fuzzy systems with delays
    Liu, Xingwen
    FOURTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, VOL 2, PROCEEDINGS, 2007, : 26 - +
  • [37] A Descriptor System Approach to Discrete-Time Sliding Mode Control for Uncertain Systems with Time-Varying Delays
    Yan, Maode
    Mehr, Aryan Saadat
    Shi, Yang
    PROCEEDINGS OF THE 2008 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL, 2008, : 144 - +
  • [38] Robust decentralized H∞ control of multi-channel discrete-time descriptor systems with time-delays
    Chen, Ning
    Gui, Weihua
    Xie, Yongfang
    Li, Jinzhou
    PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 889 - 894
  • [39] Observers for discrete-time systems with multiple delays
    Boutayeb, M
    Darouach, M
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (05) : 746 - 750
  • [40] Stability of discrete-time systems with time-varying delays
    Ekanayake, MM
    Premaratne, K
    Douligeris, C
    Bauer, PH
    PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 3914 - 3919
12345