New stability analysis for systems with interval time-varying delay

被引：42
|
作者：
Qian, Wei [1 ]
Liu, Juan [2 ]
机构：
[1] Henan Polytech Univ, Sch Elect Engn & Automat, Jiaozuo 454000, Peoples R China
[2] Henan Polytech Univ, Dept Math & Informat Sci, Jiaozuo 454000, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 04期
关键词：
DEPENDENT STABILITY; ROBUST STABILITY; CRITERIA;
D O I：
10.1016/j.jfranklin.2012.12.017
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper is concerned with the stability of linear systems with interval time-varying delay. A new augmented Lyapunov-Krasovskii functional (LKF) is constructed, then its time derivative is estimated by improved reciprocally convex approach, and as a result, new less conservative stability criteria are obtained in terms of linear matrix inequalities. Numerical examples are also given to demonstrate the effectiveness and reduced conservatism of the obtained results. Crown Copyright (C) 2012 Published by Elsevier Ltd. on behalf of The Franklin Institute. All rights reserved.
引用
收藏
页码：890 / 897
页数：8
相关论文
共 50 条
  • [31] Delay distribution dependent stability criteria for interval time-varying delay systems
    Xiao, Nan
    Jia, Yingmin
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (10): : 3142 - 3158
  • [32] Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay
    Li, Boren
    JOURNAL OF CONTROL SCIENCE AND ENGINEERING, 2011, 2011
  • [33] Stability analysis for neural networks with time-varying interval delay
    He, Yong
    Liu, G. P.
    Rees, D.
    Wu, Min
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (06): : 1850 - 1854
  • [34] New Stability Criterion for Discrete-Time Systems with Interval Time-Varying State Delay
    Guo, Yafeng
    Li, Shaoyuan
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 1342 - 1347
  • [35] Stability analysis and observer design for discrete-time systems with interval time-varying delay
    Dong, Yali
    Chen, Laijun
    Mei, Shengwei
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2016, 37 (02): : 340 - 358
  • [36] New Stability Criteria for Systems with Time-varying Delay
    Zhu, Xun-Lin
    Yang, Guang-Hong
    2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 655 - 660
  • [37] An Improved Reciprocally Convex Lemma for Stability Analysis of Interval Time-Varying Delay Systems
    Ren, Ze-Rong
    Tian, Jun-Kang
    ENGINEERING LETTERS, 2023, 31 (02) : 598 - 602
  • [38] Novel robust stability analysis method for uncertain systems with interval time-varying delay
    He, Xing
    Wu, Yu-bin
    Song, Li-jun
    SOFT COMPUTING, 2022, 26 (19) : 10465 - 10475
  • [39] Novel robust stability analysis method for uncertain systems with interval time-varying delay
    Xing He
    Yu-bin Wu
    Li-jun Song
    Soft Computing, 2022, 26 : 10465 - 10475
  • [40] Stability analysis for uncertain neutral Markovian jump systems with interval time-varying delay
    Liu, Xinghua
    Xi, Hongsheng
    International Journal of Control and Automation, 2013, 6 (04): : 69 - 82
12345