Robust absolute stability criteria for uncertain Lur'e systems of neutral type

被引：40

作者：

Han, Qing-Long ^{[1
,2
]}

Xue, Anke ^{[1
]}

Liu, Shirong ^{[1
]}

Yu, Xinghuo ^{[3
]}

机构：

[1] Hangzhou Dianzi Univ, Coll Automat, Hangzhou 310018, Peoples R China

[2] Univ Cent Queensland, Sch Comp Sci, Rockhampton, Qld 4702, Australia

[3] RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3001, Australia

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2008年 / 18卷 / 03期

关键词：

Lur'e systems; absolute stability; discrete delay; neutral delay; uncertainty; nonlinearity; robustness;

D O I：

10.1002/rnc.1219

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 is concerned with robust absolute stability of uncertain Lur'e systems of neutral type. Some delay-dependent stability criteria are obtained and formulated in the form of linear matrix inequalities. The criteria cover some existing results as their special cases. Neither model transformation nor bounding technique for cross terms is involved through derivation of the stability criteria. Numerical examples show the effectiveness of the criteria. Copyright (c) 2007 John Wiley & Sons, Ltd.

引用

页码：278 / 295

页数：18

共 30 条

[1]

Aizerman M. A., 1964, Absolute stability of regulator systems

[2] Methods for linear systems of circuit delay differential equations of neutral type [J].

Bellen, A ;

Guglielmi, N ;

Ruehli, AE .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1999, 46 (01) :212-216

[3]

Bliman P.-A., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2005, DOI 10.1109/CDC.1999.830933

[4] Lyapunov-Krasovskii functionals and frequency domain: delay-independent absolute stability criteria for delay systems [J].

Bliman, PA .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2001, 11 (08) :771-788

[5]

Boy S., 1994, Linear MatrixInequalities in System and Control Theory

[6] BIFURCATION OF PERIODIC SOLUTIONS IN A NONLINEAR DIFFERENCE-DIFFERENTIAL EQUATION OF NEUTRAL TYPE [J].

BRAYTON, RK .

QUARTERLY OF APPLIED MATHEMATICS, 1966, 24 (03) :215-&

[7] Lyapunov functional for multiple delay general Lurie systems with multiple non-linearities [J].

Gan, ZX ;

Ge, WG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 259 (02) :596-608

[8]

Gu K., 2003, CONTROL ENGN SER BIR, DOI 10.1007/978-1-4612-0039-0

[9]

Hale J.K., 1993, Introduction to Functional Differential Equations, DOI DOI 10.1007/978-1-4612-4342-7

[10] Absolute stability of time-delay systems with sector-bounded nonlinearity [J].

Han, QL .

AUTOMATICA, 2005, 41 (12) :2171-2176

← 1 2 3 →