A delay partitioning approach to delay-dependent stability analysis for neutral type neural networks with discrete and distributed delays

被引:78
作者
Lakshmanan, S. [1 ]
Park, Ju H. [1 ]
Jung, H. Y. [1 ]
Kwon, O. M. [2 ]
Rakkiyappan, R. [3 ]
机构
[1] Yeungnam Univ, Dept Elect Engn Informat & Commun Engn, Kyongsan 712749, South Korea
[2] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 361763, South Korea
[3] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India
关键词
Neural networks; Delay partitioning approach; Stability; Neutral delay; GLOBAL EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; ROBUST STABILITY; TIME-DELAY; SYSTEMS; STABILIZATION; CRITERIA;
D O I
10.1016/j.neucom.2012.12.016
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper is concerned with the stability analysis of neutral type neural networks with discrete and distributed delays. Some improved delay-dependent stability results are established by using a delay partitioning approach for the networks. By employing a new type of Lyapunov-Krasovskii functionals, new delay-dependent stability criteria are derived. All the criteria are expressed in terms of linear matrix inequalities (LMIs), which can be solved efficiently by using standard convex optimization algorithms. Finally, numerical examples are given to illustrate the less conservatism of the proposed method. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:81 / 89
页数:9
相关论文
共 41 条
[1]   An H∞ approach to stability analysis of switched Hopfield neural networks with time-delay [J].
Ahn, Choon Ki .
NONLINEAR DYNAMICS, 2010, 60 (04) :703-711
[2]  
[Anonymous], 1993, Neural networks for optimization and signal processing
[3]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[4]   Global exponential stability and periodicity of recurrent neural networks with time delays [J].
Cao, JD ;
Wang, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (05) :920-931
[5]   New stability criteria for a class of neutral systems with discrete and distributed time-delays: an LMI approach [J].
Chen, JD .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 150 (03) :719-736
[6]   Delay-independent stability analysis of Cohen-Grossberg neural networks [J].
Chen, TP ;
Rong, LB .
PHYSICS LETTERS A, 2003, 317 (5-6) :436-449
[7]   Improved asymptotic stability conditions for neural networks with discrete and distributed delays [J].
Chen, Yonggang ;
Fei, Shumin ;
Zhang, Kanjian .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2012, 89 (15) :1938-1951
[8]   Globally asymptotic stability of a class of neutral-type neural networks with delays [J].
Cheng, Chao-Jung ;
Liao, Teh-Lu ;
Yan, Jun-Juh ;
Hwang, Chi-Chuan .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2006, 36 (05) :1191-1195
[9]   A neutral-type delayed projection neural network for solving nonlinear variational inequalities [J].
Cheng, Long ;
Hou, Zeng-Guang ;
Tan, Min .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2008, 55 (08) :806-810
[10]   Novel delay-dependent robust stability criterion of delayed cellular neural networks [J].
Cho, Hyun J. ;
Park, Ju H. .
CHAOS SOLITONS & FRACTALS, 2007, 32 (03) :1194-1200