New Delay-dependent stability criteria for neutral systems with time-varying delay using delay-decomposition approach

被引：7

作者：

Ge, Chao ^{[1
,2
]}

Hua, Chang-Chun ^{[1
]}

Guan, Xin-Ping ^{[1
,3
]}

机构：

[1] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China

[2] Hebei United Univ, Inst Informat Engn, Tangshan City 063009, Peoples R China

[3] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2014年 / 12卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Asymptotic stability; delay-decomposition; linear matrix inequalities (LMIs); time-varying delay; ROBUST STABILITY; DIFFERENTIAL SYSTEMS; ASYMPTOTIC STABILITY; UNCERTAIN SYSTEMS; STABILIZATION;

D O I：

10.1007/s12555-013-0118-5

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 concerns with the problem of asymptotic stability for neutral systems with timevarying delays. With the introduction of delay-decomposition approach, some new delay-dependent stability criteria are established and formulated in the form of linear matrix inequalities. Both constant time delays and time-varying delays have been taken into account. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.

引用

页码：786 / 793

页数：8

共 30 条

[1] [Anonymous], 2001, LECT NOTES CONTROL I
[2] Delay-dependent stability of neutral systems with time-varying delays using delay-decomposition approach
Balasubramaniam, P.
Krishnasamy, R.
Rakkiyappan, R.
[J]. APPLIED MATHEMATICAL MODELLING, 2012, 36 (05) : 2253 - 2261
[3] BIFURCATION OF PERIODIC SOLUTIONS IN A NONLINEAR DIFFERENCE-DIFFERENTIAL EQUATION OF NEUTRAL TYPE
BRAYTON, RK
[J]. QUARTERLY OF APPLIED MATHEMATICS, 1966, 24 (03) : 215 - &
[4] Delay-dependent stability criterion for neutral time-delay systems
Chen, JD
Lien, CH
Fan, KK
Cheng, JS
[J]. ELECTRONICS LETTERS, 2000, 36 (22) : 1897 - 1898
[5] Discretized Lyapunov functional for uncertain systems with multiple time-delay
Gu, KQ
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (16) : 1436 - 1445
[6] Delay-range-dependent stability for systems with time-varying delay
He, Yong
Wang, Qing-Guo
Lin, Chong
Wu, Min
[J]. AUTOMATICA, 2007, 43 (02) : 371 - 376
[7] Some simple criteria for stability of neutral delay-differential systems
Hu, GD
Hu, GD
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1996, 80 (2-3) : 257 - 271
[8] State estimation of recurrent neural networks with time-varying delay: A novel delay partition approach
Huang, He
Feng, Geng
[J]. NEUROCOMPUTING, 2011, 74 (05) : 792 - 796
[9] Stability analysis and control synthesis of neutral systems with time-varying delays and nonlinear uncertainties
Karimi, Hamid Reza
Zapateiro, Mauricio
Luo, Ningsu
[J]. CHAOS SOLITONS & FRACTALS, 2009, 42 (01) : 595 - 603
[10] Robust H∞ stabilisation of networked control systems with packet analyser
Kim, S. H.
Park, P.
Jeong, C.
[J]. IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (09) : 1828 - 1837

← 1 2 3 →