Delay-Decomposition Stability Approach of Nonlinear Neutral Systems with Mixed Time-Varying Delays

被引：0

作者：

Mazhoud, Ilyes ^{[1
]}

Amri, Issam ^{[1
]}

Soudani, Dhaou ^{[1
]}

机构：

[1] Univ Tuins El Manar, Natl Engn Sch Tunis, Lab Res Automat Control, BP 37, Tunis 1002, Tunisia

来源：

INTERNATIONAL JOURNAL OF ADVANCED COMPUTER SCIENCE AND APPLICATIONS | 2016年 / 7卷 / 05期

关键词：

Neutral systems; Lyapunov-Krasovskii approach; asymptotic stability; mixed time-varying delays; nonlinear perturbations; Linear Matrix Inequalities (LMIs);

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper deals with the asymptotic stability of neutral systems with mixed time-varying delays and nonlinear perturbations. Based on the Lyapunov-Krasovskii functional including the triple integral terms and free weighting matrices approach, a novel delay-decomposition stability criterion is obtained. The main idea of the proposed method is to divide each delay interval into two equal segments. Then, the Lyapunov-Krasovskii functional is used to split the bounds of integral terms of each subinterval. In order to reduce the stability criterion conservatism, delay-dependent sufficient conditions are performed in terms of Linear Matrix Inequalities (LMIs) technique. Finally, numerical simulations are given to show the effectiveness of the proposed stability approach.

引用

页码：391 / 400

页数：10

共 50 条

[1] Delay-dependent stability of neutral systems with time-varying delays using delay-decomposition approach [J].

Balasubramaniam, P. ;

Krishnasamy, R. ;

Rakkiyappan, R. .

APPLIED MATHEMATICAL MODELLING, 2012, 36 (05) :2253-2261

[2] New Delay-dependent stability criteria for neutral systems with time-varying delay using delay-decomposition approach [J].

Chao Ge ;

Chang-Chun Hua ;

Xin-Ping Guan .

International Journal of Control, Automation and Systems, 2014, 12 :786-793

[3] New Delay-dependent stability criteria for neutral systems with time-varying delay using delay-decomposition approach [J].

Ge, Chao ;

Hua, Chang-Chun ;

Guan, Xin-Ping .

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2014, 12 (04) :786-793

[4] Improved Results on Delay-dependent Stability for Neutral Systems with Mixed Time-varying Delays and Nonlinear Perturbations [J].

Zhou Xin ;

Zhang Hexin ;

Sun Peng ;

Wu Yubin ;

Hui Junjun .

2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, :6597-6601

[5] Delay-Dependent Stability Approach for Nonlinear Descriptor Mixed Time-Varying Delays Systems [J].

Mazhoud, Ilyes ;

Amri, Issam ;

Soudani, Dhaou .

2015 7TH INTERNATIONAL CONFERENCE ON MODELLING, IDENTIFICATION AND CONTROL (ICMIC), 2014, :371-377

[6] Delay dependent stability analysis of neutral systems with mixed time-varying delays and nonlinear perturbations [J].

Rakkiyappan, R. ;

Balasubramaniam, P. ;

Krishnasamy, R. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (08) :2147-2156

[7] A delay decomposition approach to stability analysis of neutral systems with time-varying delay [J].

Liu, Pin-Lin .

APPLIED MATHEMATICAL MODELLING, 2013, 37 (07) :5013-5026

[8] Novel delay-dependent robust stability criteria for neutral systems with mixed time-varying delays and nonlinear perturbations [J].

Cheng, Jun ;

Zhu, Hong ;

Zhong, Shouming ;

Li, Guihua .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (14) :7741-7753

[9] Improved results on robust stability of neutral systems with mixed time-varying delays and nonlinear perturbations [J].

Lakshmanan, S. ;

Senthilkumar, T. ;

Balasubramaniam, P. .

APPLIED MATHEMATICAL MODELLING, 2011, 35 (11) :5355-5368

[10] Less conservative stability criteria for a class of Lur'e dynamical system with mixed time-varying delays using delay-decomposition approach [J].

Shi, Kaibo ;

Zhu, Hong ;

Zeng, Yong ;

Zhang, Yuping ;

Zhong, Shouming .

2014 INTERNATIONAL CONFERENCE ON MECHATRONICS AND CONTROL (ICMC), 2014, :301-306

← 1 2 3 4 5 →