Improved robust stability criteria for uncertain discrete-time systems with interval time-varying delays via new zero equalities

被引：41

作者：

Kwon, O. M. ^{[1
]}

Park, M. J. ^{[1
]}

Park, J. H. ^{[2
]}

Lee, S. M. ^{[3
]}

Cha, E. J. ^{[4
]}

机构：

[1] Chungbuk Natl Univ, Sch Elect Engn, Chonju 361763, South Korea

[2] Yeungnam Univ, Dept Elect Engn, Kyongsan 712749, South Korea

[3] Daegu Univ, Sch Elect Engn, Gyongsan 712714, South Korea

[4] Chungbuk Natl Univ, Sch Med, Dept Biomed Engn, Chonju 361763, South Korea

来源：

IET CONTROL THEORY AND APPLICATIONS | 2012年 / 6卷 / 16期

基金：

新加坡国家研究基金会;

关键词：

STABILIZATION;

D O I：

10.1049/iet-cta.2012.0257

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 study is concerned with the stability problem for uncertain discrete-time systems with interval time-varying delays. By construction of an augmented Lyapunov-Krasovskii's functional and utilisation of new zero equalities, improved delay-dependent criteria for the stability of the systems are derived for guaranteeing the asymptotic stability of the concerned systems. The effectiveness and the reduced conservatism of the derived results are demonstrated by three illustrative examples.

引用

页码：2567 / 2575

页数：9

共 26 条

[21] Time-delay systems: an overview of some recent advances and open problems [J].

Richard, JP .

AUTOMATICA, 2003, 39 (10) :1667-1694

[22] New Stability Criteria for Linear Discrete-Time Systems With Interval-Like Time-Varying Delays [J].

Shao, Hanyong ;

Han, Qing-Long .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (03) :619-625

[23] On equivalence and efficiency of certain stability criteria for time-delay systems [J].

Xu, Shengyuan ;

Lam, James .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (01) :95-101

[24] A survey of linear matrix inequality techniques in stability analysis of delay systems [J].

Xu, Shengyuan ;

Lam, James .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2008, 39 (12) :1095-1113

[25] Improved stability criterion and its applications in delayed controller design for discrete-time systems [J].

Zhang, Baoyong ;

Xu, Shengyuan ;

Zou, Yun .

AUTOMATICA, 2008, 44 (11) :2963-2967

[26] Jensen inequality approach to stability analysis of discrete-time systems with time-varying delay [J].

Zhu, Xun-Lin ;

Yang, Guang-Hong .

2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, :1644-1649

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