Exponential passivity of BAM neural networks with time-varying delays

被引：15
作者：
Du, Yuanhua [1 ]
Zhong, Shouming [1 ]
Zhou, Nan [2 ]
Nie, Lei [1 ]
Wang, Wenqin [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 611731, Sichuan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 221卷
基金：
中国国家自然科学基金;
关键词：
Exponential passivity; BAM neural networks; Linear matrix inequality; Lyapunov-Krasovskii; Time-varying delays; STABILITY; CRITERION; DISCRETE;
D O I：
10.1016/j.amc.2013.06.069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problem of delay-dependent exponential passivity analysis is investigated for BAM neural networks with time-varying delays. By establishing a suitable augmented Lyapunov-Krasovskii function and a novel sufficient condition is obtained to guarantee the exponential stability of the considered system. The several exponential stability criterion proposed in this paper is simpler and effective. A numerical example is provided to demonstrate the feasibility and effectiveness of our results. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：727 / 740
页数：14
相关论文
共 27 条
[1]   Delay dependent stability results for fuzzy BAM neural networks with Markovian jumping parameters [J].
Balasubramaniam, P. ;
Rakkiyappan, R. ;
Sathy, R. .
EXPERT SYSTEMS WITH APPLICATIONS, 2011, 38 (01) :121-130
[2]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[3]   Exponentially dissipative nonlinear dynamical systems: A nonlinear extension of strict positive realness [J].
Chellaboina, V ;
Haddad, WM .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2003, (1-2) :25-45
[4]   Passivity analysis of stochastic time-delay neural networks [J].
Chen, Yun ;
Wang, Huijiao ;
Xue, Anke ;
Lu, Renquan .
NONLINEAR DYNAMICS, 2010, 61 (1-2) :71-82
[5]   Passivity-based control for Hopfield neural networks using convex representation [J].
Ji, D. H. ;
Koo, J. H. ;
Won, S. C. ;
Lee, S. M. ;
Park, Ju H. .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (13) :6168-6175
[6]   BIDIRECTIONAL ASSOCIATIVE MEMORIES [J].
KOSKO, B .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1988, 18 (01) :49-60
[7]   ADAPTIVE BIDIRECTIONAL ASSOCIATIVE MEMORIES [J].
KOSKO, B .
APPLIED OPTICS, 1987, 26 (23) :4947-4960
[8]   A new augmented Lyapunov-Krasovskii functional approach to exponential passivity for neural networks with time-varying delays [J].
Kwon, O. M. ;
Park, Ju H. ;
Lee, S. M. ;
Cha, E. J. .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (24) :10231-10238
[9]   Stability criteria for BAM neural networks with leakage delays and probabilistic time-varying delays [J].
Lakshmanan, S. ;
Park, Ju H. ;
Lee, Tae H. ;
Jung, H. Y. ;
Rakkiyappan, R. .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) :9408-9423
[10]   New passivity results for uncertain discrete-time stochastic neural networks with mixed time delays [J].
Li, Hongyi ;
Wang, Chuan ;
Shi, Peng ;
Gao, Huijun .
NEUROCOMPUTING, 2010, 73 (16-18) :3291-3299
123