New delay-dependent stability conditions for linear systems with delay

被引：32
|
作者：
Elmadssia, S. [1 ]
Saadaoui, K. [1 ]
Benrejeb, M. [1 ]
机构：
[1] Ecole Natl Ingenieurs Tunis, Lab LARA Automat, BP 37, Tunis 1002, Tunisia
来源：
SYSTEMS SCIENCE & CONTROL ENGINEERING | 2013年 / 1卷 / 01期
关键词：
linear time-delay systems; stability analysis; delay-dependent stability; arrow matrix;
D O I：
10.1080/21642583.2013.775537
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 work, delay-dependent stability conditions for systems described by delayed differential equations are presented. The employment of a special transformation to a state space representation named Benrejeb characteristic arrow matrix permits to determine new asymptotic stability conditions. Illustrative examples are presented to show the effectiveness of the proposed approach.
引用
收藏
页码：2 / 11
页数：10
相关论文
共 50 条
  • [1] New Delay-Dependent Stability Conditions for Time-Varying Delay Systems
    Qian, Wei
    Karimi, Hamid Reza
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [2] A delay-dependent stability criterion for linear neutral delay systems
    Li, Ming
    Liu, Long
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2009, 346 (01): : 33 - 37
  • [3] Delay-dependent Stability Criteria for Linear Systems with Time Delay
    Song, Changhui
    Ao, Kehu
    Zhao, Guoliang
    2008 IEEE INTERNATIONAL SYMPOSIUM ON KNOWLEDGE ACQUISITION AND MODELING WORKSHOP PROCEEDINGS, VOLS 1 AND 2, 2008, : 66 - +
  • [4] On delay-dependent stability for linear neutral systems
    Ivanescu, D
    Niculescu, SI
    Dugard, L
    Dion, JM
    Verriest, EI
    AUTOMATICA, 2003, 39 (02) : 255 - 261
  • [5] On delay-dependent stability for linear neutral systems
    Shen, Yanjun
    Shen, Weimin
    Gu, Jason
    2005 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS AND AUTOMATIONS, VOLS 1-4, CONFERENCE PROCEEDINGS, 2005, : 1209 - 1213
  • [6] New results for delay-dependent stability of linear systems with time-varying delay
    Han, QL
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2002, 33 (03) : 213 - 228
  • [7] Delay-dependent conditions for finite time stability of linear time-varying systems with delay
    Chen, Menghua
    Sun, Jian
    ASIAN JOURNAL OF CONTROL, 2020, 22 (02) : 924 - 933
  • [8] Delay-dependent stability of switched linear systems with time-delay
    Luo, Zheng-Xuan
    Zhang, Xiao-Li
    Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2009, 26 (01): : 89 - 91
  • [9] New delay-dependent stability criteria for systems with interval delay
    Shao, Hanyong
    AUTOMATICA, 2009, 45 (03) : 744 - 749
  • [10] Research on Delay-dependent Stability Criteria for Linear Systems with Time Delay
    Song, Changhui
    Zhao, Guoliang
    2009 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS AND AUTOMATION, VOLS 1-7, CONFERENCE PROCEEDINGS, 2009, : 2576 - +
12345