Global μ-stability of delayed neural networks with unbounded time-varying delays

被引:125
作者
Chen, Tianping [1 ]
Wang, Lili [1 ]
机构
[1] Fudan Univ, Inst Math, Key Lab Nonlinear Sci, Chinese Minist Educ, Shanghai 200433, Peoples R China
来源
IEEE TRANSACTIONS ON NEURAL NETWORKS | 2007年 / 18卷 / 06期
基金
中国国家自然科学基金;
关键词
mu-stability; recurrently connected Neural Networks (NNs); unbounded time-varying delays;
D O I
10.1109/TNN.2007.902716
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this letter, dynamical systems with unbounded time-varying delays are investigated. We address the following question: To what extent the time-varying delays can exist while the system is stable? Moreover, a new concept of stability, global it mu-stability, is proposed. Under mild conditions, we prove that the dynamical systems with unbounded time-varying delays are globally mu-stable.
引用
收藏
页码:1836 / 1840
页数:5
相关论文
共 7 条
[1]   Global asymptotic stability of a general class of recurrent neural networks with time-varying delays [J].
Cao, J ;
Wang, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :34-44
[2]   Power-rate global stability of dynamical systems with unbounded time-varying delays [J].
Chen, Tianping ;
Wang, Lili .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2007, 54 (08) :705-709
[3]   Stability of asymmetric Hopfield networks [J].
Chen, TP ;
Amari, SI .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2001, 12 (01) :159-163
[4]   Global exponential stability of delayed Hopfield neural networks [J].
Chen, TP .
NEURAL NETWORKS, 2001, 14 (08) :977-980
[5]   Convergence analysis of cellular neural networks with unbounded delay [J].
Yi, Z ;
Heng, PA ;
Leung, KS .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (06) :680-687
[6]   Global asymptotic stability and global exponential stability of neural networks with unbounded time-varying delays [J].
Zeng, ZG ;
Wang, J ;
Liao, XX .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (03) :168-173
[7]   Absolute stability of a class of neural networks with unbounded delay [J].
Zhang, JY .
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2004, 32 (01) :11-21