Positivity and stability analysis of positive discrete-time descriptor systems

被引:0
|
作者
Gao Haichao [1 ]
Dong Wei [1 ]
Ma Linli [2 ]
机构
[1] Henan Vocat Coll Chem Technol, Dept Machinery & Elect, Zhengzhou 450042, Peoples R China
[2] Hangzhou Dianzi Univ, Inst Informat & Control, Hangzhou 310018, Zhejiang, Peoples R China
来源
PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC) | 2016年
关键词
Positive descriptor systems; positivity; stability; linear programming; LINEAR-SYSTEMS; STABILIZATION; ALGORITHM;
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 and stability analysis of positive descriptor systems. First, several sufficient conditions for the positivity and stability of the underlying systems are established. Then, necessary and sufficient conditions for the positivity and stability of those systems are addressed by virtue of linear programming. By comparisons, it is shown that the present conditions are less conservative than existing ones. Finally, two numerical examples are given to validate the present results.
引用
收藏
页码:982 / 987
页数:6
相关论文
共 50 条
  • [1] Positivity and Stability of a Class of Fractional Descriptor Discrete-Time Nonlinear Systems
    Kaczorek, Tadeusz
    THEORETICAL DEVELOPMENTS AND APPLICATIONS OF NON-INTEGER ORDER SYSTEMS, 2016, 357 : 143 - 155
  • [2] Positivity analysis for discrete-time descriptor systems with time delays
    Zhang, Youmei
    Zhang, Qingling
    Tanaka, Tamaki
    Meng, Xinyou
    Lv, Hui
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 2530 - 2535
  • [3] POSITIVITY OF FRACTIONAL DESCRIPTOR LINEAR DISCRETE-TIME SYSTEMS
    Kaczorek, Tadeusz
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2019, 29 (02) : 305 - 310
  • [4] Nonnegativity, stability analysis of linear discrete-time positive descriptor systems: an optimization approach
    Yang, H.
    Zhou, M.
    Zhao, M.
    Pan, P.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2018, 66 (01) : 23 - 29
  • [5] Descriptor standard and positive discrete-time nonlinear systems
    Kaczorek, Tadeusz
    ARCHIVES OF CONTROL SCIENCES, 2015, 25 (02): : 227 - 235
  • [6] Stochastic Positivity and Stability Analysis for Discrete-Time Linear Systems
    Jin, Ying
    Liang, Jinling
    Wang, Lan
    2019 IEEE SYMPOSIUM SERIES ON COMPUTATIONAL INTELLIGENCE (IEEE SSCI 2019), 2019, : 3240 - 3245
  • [7] Fractional descriptor standard and positive discrete-time nonlinear systems
    Kaczorek, T.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2015, 63 (03) : 651 - 655
  • [8] Descriptor positive discrete-time and continuous-time nonlinear systems
    Kaczorek, Tadeusz
    PHOTONICS APPLICATIONS IN ASTRONOMY, COMMUNICATIONS, INDUSTRY, AND HIGH-ENERGY PHYSICS EXPERIMENTS 2014, 2014, 9290
  • [9] Stability analysis of discrete-time fuzzy positive systems with time delays
    Wu, Yang
    Luo, Heng
    Zhang, Hongbin
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2013, 25 (04) : 893 - 905
  • [10] Qualitative Analysis of Switched Discrete-Time Descriptor Systems
    Zhai, Guisheng
    Xu, Xuping
    Imae, Joe
    Kobayashi, Tomoaki
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2009, 7 (04) : 512 - 519