Improved negativity condition for a quadratic function and its application to systems with time-varying delay

被引：36

作者：

Zeng, Hong-Bing ^{[1
]}

Lin, Hui-Chao ^{[1
]}

He, Yong ^{[2
]}

Zhang, Chuan-Ke ^{[2
]}

Teo, Kok-Lay ^{[3
,4
]}

机构：

[1] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China

[2] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China

[3] Curtin Univ Perth, Sch Elect Engn Comp & Math Sci, Bentley, WA 6102, Australia

[4] Tianjin Univ Finance & Econ, Coordinated Innovat Ctr Computable Modeling Manag, Tianjin 300222, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2020年 / 14卷 / 18期

关键词：

time-varying systems; linear systems; linear matrix inequalities; stability; delays; stability criteria; Lyapunov methods; conservative stability criteria; improved negativity condition; quadratic function; time-varying delay; stability problems; STABILITY ANALYSIS; LINEAR-SYSTEMS; INEQUALITY;

D O I：

10.1049/iet-cta.2019.1464

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 article studies the stability problems of linear systems with time-varying delay. An improved negativity condition for a quadratic function parameterised by time-varying delay is derived. Based on this condition, less conservative stability criteria are obtained. Through two well-known numerical examples, it is proved that the proposed method can reduce the conservativeness of the computed results.

引用

页码：2989 / 2993

页数：5

共 26 条

[1] Stability analysis of systems with time-varying delay: a quadratic-partitioning method [J].

Chen, Jun ;

Park, Ju H. ;

Xu, Shengyuan .

IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (18) :3184-3189

[2]

Chesi G, 2009, LECT NOTES CONTR INF, V390, P1

[3]

GOUAISBAUT F., 2006, Proc. of the 6th IFAC Workshop on Time Delay System TDS06, LAquila, P54, DOI DOI 10.3182/20060710-3-IT-4901.00010

[4]

Gu K, 2003, CONTROL ENGN SER BIR

[5] 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

[6] Further improvement of Jensen inequality and application to stability of time-delayed systems [J].

Kim, Jin-Hoon .

AUTOMATICA, 2016, 64 :121-125

[7] Note on stability of linear systems with time-varying delay [J].

Kim, Jin-Hoon .

AUTOMATICA, 2011, 47 (09) :2118-2121

[8] Improved results on stability of linear systems with time-varying delays via Wirtinger-based integral inequality [J].

Kwon, O. M. ;

Park, M. J. ;

Park, Ju H. ;

Lee, S. M. ;

Cha, E. J. .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (12) :5386-5398

[9] A novel Lyapunov functional for stability of time-varying delay systems via matrix-refined-function [J].

Lee, Tae H. ;

Park, Ju H. .

AUTOMATICA, 2017, 80 :239-242

[10] Stability and L2 Synthesis of a Class of Periodic Piecewise Time-Varying Systems [J].

Li, Panshuo ;

Lam, James ;

Lu, Renquan ;

Kwok, Ka-Wai .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (08) :3378-3384

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