New Delay-dependent Stability Criteria for Linear Systems with Multiple Time-Varying Delays

被引：0

作者：

Shan, Qihe ^{[1
]}

Zhang, Huaguang ^{[2
,3
]}

Yang, Feisheng ^{[1
]}

机构：

[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Liaoning, Peoples R China

[2] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110819, Liaoning, Peoples R China

[3] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Liaoning, Peoples R China

来源：

PROCEEDINGS OF THE 2013 FOURTH INTERNATIONAL CONFERENCE ON INTELLIGENT CONTROL AND INFORMATION PROCESSING (ICICIP) | 2013年

基金：

国家高技术研究发展计划(863计划); 中国国家自然科学基金;

关键词：

time-delay system; stability; convex combination inequality; linear matrix inequality; NEURAL-NETWORKS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For systems with a delay varying in an interval studied by Shao (New delay-dependent stability criteria for systems with interval delay. Automatica, 45 (2009) 744-749) a tight upper bound on its derivative of different Lyapunov functional has been suggested, but this method is not suited to systems with multiple varying delays. Before proving the main theorem, a more generalized convex combination inequality is proposed. A new stability criterion for systems with multiple time-varying delays is obtained in this paper by the general inequality technique. Two examples are included to illustrate the effectiveness of the presented results.

引用

页码：188 / 192

页数：5

共 14 条

[1]

GU K., 2003, CONTROL ENGN SER BIR

[2] Exponential stability of singular systems with multiple time-varying delays [J].

Haidar, Ahmad ;

Boukas, E. K. .

AUTOMATICA, 2009, 45 (02) :539-545

[3]

Hale J.K., 1977, THEORY FUNCTIONAL DI

[4] Delay-dependent stability criteria for uncertain neutral systems with multiple time-varying delays via LMI approach [J].

Lien, CH .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2005, 152 (06) :707-714

[5] Stability and robust stability for systems with a time-varying delay [J].

Park, PooGyeon ;

Ko, Jeong Wan .

AUTOMATICA, 2007, 43 (10) :1855-1858

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

Richard, JP .

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

[7] New delay-dependent stability criteria for systems with interval delay [J].

Shao, Hanyong .

AUTOMATICA, 2009, 45 (03) :744-749

[8]

Sun Yeong-Jeu, 1997, IEEE T AC, V42

[9]

Xu Bugong, 2003, IEEE T AC, V48

[10] Delay-dependent resilient-robust stabilisation of uncertain networked control systems with variable sampling intervals [J].

Yang, Feisheng ;

Zhang, Huaguang ;

Liu, Zhenwei ;

Li, Ranran .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2014, 45 (03) :497-508

← 1 2 →