Improved exponential stability of time-delay systems

被引：0
|
作者：
Zhang, Lina [2 ]
Gao, Xiangyu [1 ]
Zhang, Gengen [1 ]
Wang, Yating [1 ]
机构：
[1] Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Guangxi, Peoples R China
[2] Guangxi Normal Univ, Sch Polit Sci & Publ Adm, Guilin 541004, Guangxi, Peoples R China
来源：
PROCEEDINGS OF THE 2019 31ST CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2019) | 2019年
关键词：
Time-delay systems; Exponential stability; LMIs; Multiple integrals; Integral inequality; UNCERTAIN DYNAMIC-SYSTEMS; SINGULAR SYSTEMS; STABILIZATION;
D O I：
10.1109/ccdc.2019.8833113
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a new inner product space is defined, which has a standard orthogonal basis. Based on this basis, an improved integral inequality is established, which is used to construct a new Lyapunov-Krasovskii functionals (LKFs). Thus, a less conservative exponential stability criterion of time-delay systems is obtained, which is in form of linear matrix inequalities(LMIs). Finally, non-conservatism of this exponential stability criterion can be not only numerically illustrated by an example, but also rigorously proved in theory.
引用
收藏
页码：182 / 187
页数：6
相关论文
共 50 条
  • [41] IMPROVED PARAMETER-DEPENDENT ROBUST STABILITY CRITERIA FOR TIME-DELAY SYSTEMS WITH POLYTOPIC UNCERTAINTIES
    Liu, Xiangui
    Cheng, Wuwei
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2009, 5 (04): : 923 - 930
  • [42] IMPROVED STABILITY CRITERIA FOR LINEAR NEUTRAL TIME-DELAY SYSTEMS
    Xia, Hongwei
    Zhao, Pingping
    Li, Li
    Wang, Yanmin
    Wu, Aiguo
    ASIAN JOURNAL OF CONTROL, 2015, 17 (01) : 343 - 351
  • [43] Relation between exponential stability and input-to-state stability of time-delay systems
    Yeganefar, Nima
    Dambrine, Michel
    Yeganefar, Nader
    2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 2830 - 2831
  • [44] Exponential stability analysis of time-delay systems based on Taylor expansion-based weighted integral inequality
    Gong, Cheng
    Zhu, Guopu
    Shi, Yan
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2019, 50 (04) : 807 - 816
  • [45] Input-to-state stability and exponential stability for time-delay systems: Further results
    Yeganefar, Nima
    Pepe, Pierdomenico
    Dambrine, Michel
    PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 4562 - 4567
  • [46] On Improved Delay-dependent Stability Criteria for Neutral Time-delay Systems
    Sun, Jian
    Liu, G. P.
    EUROPEAN JOURNAL OF CONTROL, 2009, 15 (06) : 613 - 623
  • [47] Exponential stability of discrete-time linear singular positive time-delay systems
    Liu Tingting
    Wu Baowei
    Tong Yunxu
    2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 6069 - 6073
  • [48] Exponential stability analysis for discrete-time switched linear systems with time-delay
    Wang, Rui
    Zhao, Jun
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2007, 3 (6B): : 1557 - 1564
  • [49] Exponential stability of discrete-time switched linear positive systems with time-delay
    Xiang, Mei
    Xiang, Zhengrong
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 230 : 193 - 199
  • [50] LMI-based Exponential Estimates for Time-delay Systems
    Shen, Yanjun
    CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 1410 - 1415
12345