Stability of neutral-type descriptor systems with multiple time-varying delays

被引:121
作者
Zhao, Yuxia [1 ]
Ma, Yuechao [1 ]
机构
[1] Yanshan Univ, Coll Sci, Qinhuangdao 066004, Hebei, Peoples R China
基金
美国国家科学基金会;
关键词
neutral-type descriptor systems; asymptotical stability; free-weighting matrix; linear matrix inequality; DEPENDENT ROBUST STABILITY; CRITERIA;
D O I
10.1186/1687-1847-2012-15
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article deals with the problem of stability of descriptor neutral systems with multiple delays. Using Lyapunov functional and free-weighting matrix method, a delay-dependent stability criterion is obtained and formulated in the form of linear matrix inequalities, which can easily be checked by utilizing Matlab linear matrix inequality toolbox. Finally, a numerical example is presented to illustrate the effectiveness of the method.
引用
收藏
页码:1 / 7
页数:7
相关论文
共 10 条
[1]  
Chen De-Yin, 2008, Acta Automatica Sinica, V34, P989, DOI 10.3724/SP.J.1004.2008.00989
[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 further refinement of discretized Lyapunov functional method for the stability of time-delay systems [J].
Gu, KQ .
INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (10) :967-976
[4]   On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty [J].
Han, QL .
AUTOMATICA, 2004, 40 (06) :1087-1092
[5]   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
[6]   Some new simple stability criteria of linear neutral systems with a single delay [J].
Li, Hong ;
Zhong, Shou-ming ;
Li, Hou-biao .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 200 (01) :441-447
[7]   Stability of neutral type descriptor system with mixed delays [J].
Li, Hong ;
Li, Hou-biao ;
Zhong, Shou-ming .
CHAOS SOLITONS & FRACTALS, 2007, 33 (05) :1796-1800
[8]   Stability analysis for neutral delay-differential systems [J].
Park, JH ;
Won, S .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2000, 337 (01) :1-9
[9]   Robust stability and stabilization for singular systems with state delay and parameter uncertainty [J].
Xu, SY ;
Van Dooren, P ;
Stefan, R ;
Lam, J .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (07) :1122-1128
[10]   Delay and its time-derivative dependent robust stability of neutral control system [J].
Zhao, Zhengrong ;
Wang, Wei ;
Yang, Bin .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (02) :1326-1332