Stability analysis of discrete-time fuzzy positive systems with time delays

被引：6
|
作者：
Wu, Yang [1 ]
Luo, Heng [1 ]
Zhang, Hongbin [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Elect Engn, Ctr Nonlinear & Complex Syst, Chengdu 611731, Sichuan, Peoples R China
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2013年 / 25卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Fuzzy control; Fuzzy positive systems; time-delay; stability; linear programmings (LP); STABILIZATION; DESIGN;
D O I：
10.3233/IFS-120692
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper addresses stability analysis for fuzzy positive systems with time delays represented by Takagi-Sugeno type models. Based on the fuzzy linear Lyapunov functions or functionals, we give stability conditions for fuzzy positive systems with constant time delays. Based on the so-called solution trajectory approach, we give stability conditions for fuzzy positive systems with time-varying delays. All the stability results are delay independent and formulated as linear programmings (LPs) or linear matrix inequalities (LMIs) that are numerically feasible. This paper also discusses the conservatism for these different approaches. Moreover, this paper proposes some necessary conditions of stability for fuzzy positive systems with time delays.
引用
收藏
页码：893 / 905
页数：13
相关论文
共 50 条
  • [1] Stability Analysis of Discrete-Time Periodic Positive Systems with Periodic Delays
    Li, Shuai
    Liu, Xingwen
    Pu, Tiantong
    2018 15TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION (ICARCV), 2018, : 1099 - 1103
  • [2] Stability analysis for discrete-time positive switched linear systems with time-delays
    Zhao Ming Xing
    Liu Zhi
    Du Ying Xue
    2022 41ST CHINESE CONTROL CONFERENCE (CCC), 2022, : 89 - 93
  • [3] Stability and Constrained Control of a Class of Discrete-Time Fuzzy Positive Systems with Time-Varying Delays
    Yanbing Mao
    Hongbin Zhang
    Yan Qin
    Chuangyin Dang
    Circuits, Systems, and Signal Processing, 2013, 32 : 889 - 904
  • [4] Stability and Constrained Control of a Class of Discrete-Time Fuzzy Positive Systems with Time-Varying Delays
    Mao, Yanbing
    Zhang, Hongbin
    Qin, Yan
    Dang, Chuangyin
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2013, 32 (02) : 889 - 904
  • [5] Stability of positive switched linear discrete-time systems with delays
    Cimochowski, Robert
    2012 17TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2012, : 276 - 279
  • [6] Stability analysis of discrete-time coupled systems with delays
    Chen, Si
    Liu, Xingwen
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (14): : 9942 - 9959
  • [7] Stability analysis of discrete-time systems with constrained delays
    Chen, Zumei
    Liu, Xingwen
    Cao, Mengtao
    2023 35TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC, 2023, : 2194 - 2199
  • [8] 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 - +
  • [9] New Stability Criteria for Discrete-Time Fuzzy Systems with Time-Varying Delays
    Chen, Jun
    Zhang, Baoyong
    PROCEEDINGS OF THE 2016 12TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2016, : 733 - 737
  • [10] Simple stability conditions for linear positive discrete-time systems with delays
    Buslowicz, M.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2008, 56 (04) : 325 - 328
12345