Improved Results on Delay-dependent Stability for Neutral Systems with Mixed Time-varying Delays and Nonlinear Perturbations

被引：0

作者：

Zhou Xin ^{[1
]}

Zhang Hexin ^{[1
]}

Sun Peng ^{[1
]}

Wu Yubin ^{[1
]}

Hui Junjun ^{[1
]}

机构：

[1] Xian Res Inst Hi Tech, Dept Automat, Xian 710025, Peoples R China

来源：

2015 34TH CHINESE CONTROL CONFERENCE (CCC) | 2015年

关键词：

Delay-dependent stability; Neutral systems; Mixed time-varying delays; Nonlinear perturbations; ROBUST STABILITY; LINEAR-SYSTEMS; NEURAL-NETWORKS; CRITERIA; STABILIZATION;

D O I：

暂无

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 the delay-dependent stability analysis of neutral systems with mixed time-varying delays and nonlinear perturbations. By proposing a new Lyapunov-Krasovskii (L-K) functional which contains some triple integral terms, combined with integral inequalities and free-weighting matrix technique, a neutral and discrete delay-dependent stability criterion is formulated in terms of linear matrix inequalities (LMIs). This criterion enlarges the upper bound of the time-delay and has less conservative. Numerical examples are given to demonstrate the effectiveness of the proposed stability criterion.

引用

页码：6597 / 6601

页数：5

共 19 条

[1] Computation of robust stability bounds for time-delay systems with nonlinear time-varying perturbations [J].

Cao, YY ;

Lam, J .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2000, 31 (03) :359-365

[2] New delay-dependent stability criteria for neural networks with time-varying interval delay [J].

Chen, Jie ;

Sun, Jian ;

Liu, G. P. ;

Rees, D. .

PHYSICS LETTERS A, 2010, 374 (43) :4397-4405

[3] New Delay-Dependent Stability Criteria for Neural Networks With Time-Varying Delay Using Delay-Decomposition Approach [J].

Ge, Chao ;

Hua, Changchun ;

Guan, Xinping .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2014, 25 (07) :1378-1383

[4]

Gu K., 2003, CONTROL ENGN SER BIR

[5]

Han QL, 2004, COMPUT MATH APPL, V47, P1201, DOI 10.1016/j.camwa.2004.04.005

[6] Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays [J].

He, Y ;

Wu, M ;

She, JH ;

Liu, GP .

SYSTEMS & CONTROL LETTERS, 2004, 51 (01) :57-65

[7] An Improved Delay-Dependent Criterion for Asymptotic Stability of Uncertain Dynamic Systems with Time-Varying Delays [J].

Kwon, O. M. ;

Park, J. H. ;

Lee, S. M. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 145 (02) :343-353

[8] Augmented Lyapunov functional approach to stability of uncertain neutral systems with time-varying delays [J].

Kwon, O. M. ;

Park, Ju H. ;

Lee, S. M. .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 207 (01) :202-212

[9] Improved delay-dependent stabilisation criteria for discrete systems with a new finite sum inequality [J].

Peng, C. .

IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (03) :448-453

[10] Further results on robust stability of neutral system with mixed time-varying delays and nonlinear perturbations [J].

Qiu, Fang ;

Cui, Baotong ;

Ji, Yan .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) :895-906

← 1 2 →