A new delay-dependent stability criterion for linear neutral systems with norm-bounded uncertainties in all system matrices

被引：96
作者：
Han, QL [1 ]
机构：
[1] Univ Cent Queensland, Fac Informat & Commun, Rockhampton, Qld 4702, Australia
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2005年 / 36卷 / 08期
关键词：
linear systems; neutral systems; stability; time delay; uncertainty; linear matrix inequality;
D O I：
10.1080/00207720500157437
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 deals with the problem of robust stability for a class of uncertain linear neutral systems. The uncertainties under consideration are of norm-bounded type and appear in all system matrices. A new delay-dependent stability criterion is obtained and formulated in the form of linear matrix inequalities (LMIs). Neither model transformation nor bounding technique for cross terms is involved through derivation of the stability criterion. Numerical examples show that the results obtained in this paper significantly improve the estimate of the stability limit over some existing results in the literature.
引用
收藏
页码：469 / 475
页数：7
相关论文
共 15 条
[1]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[2]   Criteria for asymptotic stability of a class of neutral systems via a LMI approach [J].
Chen, JD ;
Lien, CH ;
Fan, KK ;
Chou, JH .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2001, 148 (06) :442-447
[3]   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
[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]   Further remarks on additional dynamics in various model transformations of linear delay systems [J].
Gu, KQ ;
Niculescu, SI .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (03) :497-500
[6]   Additional dynamics in transformed time-delay systems [J].
Gu, KQ ;
Niculescu, SI .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (03) :572-575
[7]   A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays [J].
Han, QL .
AUTOMATICA, 2004, 40 (10) :1791-1796
[8]   Robust stability of uncertain delay-differential systems of neutral type [J].
Han, QL .
AUTOMATICA, 2002, 38 (04) :719-723
[9]   Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays [J].
He, Y ;
Wu, M ;
She, JH ;
Liu, GP .
SYSTEMS & CONTROL LETTERS, 2004, 51 (01) :57-65
[10]  
Kolmanovskii V., 1992, APPL THEORY FUNCTION
12