An augmented approach to absolute stability for uncertain Lur'e system with time-varying delay

被引：3
|
作者：
Kim, Yeongjae [1 ]
Lee, Yonggwon [1 ]
Kim, Seungho [1 ]
Lee, Seunghoon [1 ]
Park, Myeongjin [2 ]
Kwon, Ohmin [1 ]
机构：
[1] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 28644, South Korea
[2] Kyung Hee Univ, Ctr Global Converging Humanities, Yongin, South Korea
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年
关键词：
LMIs; Lur'e system; nonlinear system; stability; time-varying delay; uncertain; MASTER-SLAVE SYNCHRONIZATION; ROBUST STABILITY; NEURAL-NETWORKS; CRITERIA;
D O I：
10.1002/mma.8061
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the absolute stability criteria of Lur'e system with time-varying delays, uncertainties, and sector bounded nonlinearities. By constructing suitable Lyapunov-Krasovskii functionals (LKFs) and utilizing some useful mathematical techniques, an improved delay-dependent stability criterion is introduced in Theorem 1. Based on the result of Theorem 1, a further enhanced criterion is proposed in Theorem 2 by employing the augmented zero equality approach. Finally, two numerical examples show the improved performance of the criteria by comparing maximum delay bounds.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] Absolute stability of Lur'e systems with time-varying delay
    Han, Q.-L.
    Yue, D.
    IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (03): : 854 - 859
  • [2] The new absolute stability criteria for uncertain Lur'e systems with interval time-varying delay
    Xue, Mingxiang
    Wu, Zheng
    Li, Tao
    PROCEEDINGS 2018 33RD YOUTH ACADEMIC ANNUAL CONFERENCE OF CHINESE ASSOCIATION OF AUTOMATION (YAC), 2018, : 364 - 368
  • [3] Delayed decomposition approach to the robust absolute stability of a Lur'e control system with time-varying delay
    Liu, Pin-Lin
    APPLIED MATHEMATICAL MODELLING, 2016, 40 (03) : 2333 - 2345
  • [4] Delay-dependent absolute stability criteria for uncertain Lur'e singular systems with time-varying delay
    Wang, Huijiao
    Xue, Anke
    2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 4079 - +
  • [5] New Results on Absolute Stability of Lur'e Systems with Time-varying Delay
    Chen, Yonggang
    Guo, Yunrui
    Bi, Weiping
    2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 5483 - +
  • [6] New Absolute Stability Conditions of Lur'e Systems with Time-Varying Delay
    Wang, Wei
    Zeng, Hong-Bing
    JOURNAL OF CONTROL SCIENCE AND ENGINEERING, 2015, 2015
  • [7] Further results on absolute stability of Lur'e systems with a time-varying delay
    Xiao, Shen-Ping
    Liu, Xinzhi
    Zhang, Chang-Fan
    Zeng, Hong-Bing
    NEUROCOMPUTING, 2016, 207 : 823 - 827
  • [8] Delay-dependent absolute stability of lur'e systems with interval time-varying delay
    Chen, Yonggang
    Zhang, Yanhui
    Li, Qingbo
    PROCEEDINGS OF 2008 IEEE INTERNATIONAL CONFERENCE ON NETWORKING, SENSING AND CONTROL, VOLS 1 AND 2, 2008, : 1696 - +
  • [9] New absolute stability criteria for uncertain Lur'e systems with time-varying delays
    Liu, Bo
    Jia, Xin-Chun
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (09): : 4015 - 4031
  • [10] Further results on absolute stability of Lur'e systems with interval time-varying delay
    Zeng, Hong-Bing
    He, Yong
    Wu, Min
    Xiao, Shen-Ping
    PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 541 - 545
12345