Delay dependent stability analysis of neutral systems with mixed time-varying delays and nonlinear perturbations

被引：51

作者：

Rakkiyappan, R. ^{[1
]}

Balasubramaniam, P. ^{[1
]}

Krishnasamy, R. ^{[1
]}

机构：

[1] Gandhigram Rural Univ, Dept Math, Gandhigram 624302, Tamil Nadu, India

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 08期

关键词：

Linear matrix inequality; Lyapunov-Krasovskii functional; Neutral systems; Nonlinear perturbation; H-INFINITY CONTROL; ROBUST STABILITY; CRITERIA; DISCRETE;

D O I：

10.1016/j.cam.2010.10.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the problem of stability of neutral systems with interval time-varying delays and nonlinear perturbations. The uncertainties under consideration are nonlinear time-varying parameter perturbations and norm-bounded uncertainties. A new delay-dependent stability condition is derived in terms of linear matrix inequality by constructing a new Lyapunov functional and using some integral inequalities without introducing any free-weighting matrices. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2147 / 2156

页数：10

共 50 条

[21] New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations
Pinjai, Sirada
Mukdasai, Kanit
JOURNAL OF APPLIED MATHEMATICS, 2013,
[22] Delay-dependent criteria for robust stability of linear neutral systems with time-varying delay and nonlinear perturbations
Yang, Bin
Wang, Jincheng
Pan, Xuejun
Zhong, Chongquan
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2007, 38 (06) : 511 - 518
[23] Delay-Dependent Robust H∞ Performance for Uncertain Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations
Singkibud, Peerapongpat
Luu Thi Hiep
Niamsup, Piyapong
Botmart, Thongchai
Mukdasai, Kanit
MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
[24] Delay-Dependent Stability Approach for Nonlinear Descriptor Mixed Time-Varying Delays Systems
Mazhoud, Ilyes
Amri, Issam
Soudani, Dhaou
2015 7TH INTERNATIONAL CONFERENCE ON MODELLING, IDENTIFICATION AND CONTROL (ICMIC), 2014, : 371 - 377
[25] Asymptotical stability criterion for a class of nonlinear neutral systems with mixed time-varying delays
Mazhoud, Ilyes
Amri, Issam
Soudani, Dhaou
2015 IEEE 12TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS & DEVICES (SSD), 2015,
[26] Stability analysis for uncertain neutral-type stochastic nonlinear systems with mixed time-varying delays
Ma, Tengyu
Li, Longsuo
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[27] New stability criteria for neutral systems with interval time-varying delays and nonlinear perturbations
Zhang, Ao
Xu, Zhao-Di
Liu, Dong
2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 2995 - 2999
[28] Adaptive stabilization of neutral systems with nonlinear perturbations and mixed time-varying delays
Tahoun, A. H.
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2015, 29 (10) : 1328 - 1340
[29] Delay-Decomposition Stability Approach of Nonlinear Neutral Systems with Mixed Time-Varying Delays
Mazhoud, Ilyes
Amri, Issam
Soudani, Dhaou
INTERNATIONAL JOURNAL OF ADVANCED COMPUTER SCIENCE AND APPLICATIONS, 2016, 7 (05) : 391 - 400
[30] New Strategy of Delay-Dependent H∞ Stability and Stabilization for Uncertain Neutral Systems with Mixed Time-Varying Delays
Ma, Zhongqi
Zhou, Wuneng
Pan, Lin
CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 3821 - 3826

← 1 2 3 4 5 →