A NEW DELAY-DEPENDENT STABILITY CRITERION FOR TIME-DELAY SYSTEMS

被引：20
作者：
Sun, Jian [1 ]
Liu, G. P. [2 ,3 ]
机构：
[1] Chinese Acad Sci, Key Lab Complex Syst & Intelligence Sci, Inst Automat, Beijing 100190, Peoples R China
[2] Cent S Univ, NCS Lab, Changsha 410083, Hunan, Peoples R China
[3] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
来源：
ASIAN JOURNAL OF CONTROL | 2009年 / 11卷 / 04期
关键词：
Time-delay systems; delay-dependent stability; augmented Lyapunov functional; linear matrix inequality (LMI); H-INFINITY CONTROL; ROBUST STABILITY; NEUTRAL SYSTEMS; LINEAR-SYSTEMS; VARYING DELAY; LMI APPROACH; STABILIZATION; STATE;
D O I：
10.1002/asjc.121
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the problem of stability of time-delay systems. A new type of augmented Lyapunov functional is proposed. By introducing some free-weighting matrices and using the parameterized model transformation method, a new delay-dependent stability condition is obtained in terms of a linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed methods.
引用
收藏
页码：427 / 431
页数：5
相关论文
共 25 条
[1]   Impact of an Integrated Service System on Client Outcomes by Gender in a National Sample of a Mentally Ill Homeless Population [J].
Cheng, An-Lin ;
Kelly, Patricia J. .
GENDER MEDICINE, 2008, 5 (04) :395-404
[2]   A descriptor system approach to H∞ control of linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (02) :253-270
[3]   An improved stabilization method for linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1931-1937
[4]   New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems [J].
Fridman, E .
SYSTEMS & CONTROL LETTERS, 2001, 43 (04) :309-319
[5]   Comments and further results on "A descriptor system approach to H∞ control of linear time-delay systems" [J].
Gao, HJ ;
Wang, CH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (03) :520-525
[6]   Parameter-dependent robust stability of uncertain time-delay systems [J].
Gao, Huijun ;
Shi, Peng ;
Wang, Junling .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 206 (01) :366-373
[7]  
GU K, 1993, STABILITY TIME DELAY
[8]  
Han Q.-L., 2001, Asian Journal of Control, V3, P170, DOI 10.1111/j.1934-6093.2001.tb00056.x
[9]   Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties [J].
He, Y ;
Wu, M ;
She, JH ;
Liu, GP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (05) :828-832
[10]   Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems [J].
He, Y ;
Wang, QG ;
Lin, C ;
Wu, M .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2005, 15 (18) :923-933
123