Global μ-stability of complex-valued delayed neural networks with leakage delay

被引：43
作者：
Gong, Weiqiang [1 ]
Liang, Jinling [1 ,2 ]
Cao, Jinde [1 ,3 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[2] King Abdulaziz Univ, Fac Engn, CSN Res Grp, Jeddah 21589, Saudi Arabia
[3] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
来源：
NEUROCOMPUTING | 2015年 / 168卷
基金：
中国国家自然科学基金;
关键词：
Complex-valued neural networks; Global mu-stability; Leakage delay; Time-varying delays; Matrix inequality; ALGORITHM;
D O I：
10.1016/j.neucom.2015.06.006
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 paper, the global mu-stability is investigated for the complex-valued neural networks with leakage time delay and unbounded time-varying delays. The activation functions considered are no longer required to be derivable. By constructing appropriate Lyapunov-Krasovskii functionals and taking advantage of the free weighting matrix method, several sufficient and delay-dependent criteria are established to ensure the global mu-stability of the complex-valued neural networks, which can be easily checked by the Matlab Toolbox. Finally, three numerical examples are provided to illustrate the effectiveness of our theoretical results. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：135 / 144
页数：10
相关论文
共 33 条
[1]  
[Anonymous], ARTIFICIAL NEURAL NE
[2]   Global Stability of Complex-Valued Neural Networks on Time Scales [J].
Bohner, Martin ;
Rao, V. Sree Hari ;
Sanyal, Suman .
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2011, 19 (1-2) :3-11
[3]   Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays [J].
Cao, JD ;
Wang, J .
NEURAL NETWORKS, 2004, 17 (03) :379-390
[4]   Global exponential periodicity of a class of recurrent neural networks with oscillating parameters and time-varying delays [J].
Chen, BS ;
Wang, J .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (06) :1440-1448
[5]  
Chen T., IEEE T CIRCUITS SYST, V54
[6]   Global μ-stability of delayed neural networks with unbounded time-varying delays [J].
Chen, Tianping ;
Wang, Lili .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (06) :1836-1840
[7]   Global μ-Stability of Impulsive Complex-Valued Neural Networks with Leakage Delay and Mixed Delays [J].
Chen, Xiaofeng ;
Song, Qiankun ;
Liu, Yurong ;
Zhao, Zhenjiang .
ABSTRACT AND APPLIED ANALYSIS, 2014,
[8]   Global μ-Stability of Complex-Valued Neural Networks with Unbounded Time-Varying Delays [J].
Chen, Xiaofeng ;
Song, Qiankun ;
Liu, Xiaohui ;
Zhao, Zhenjiang .
ABSTRACT AND APPLIED ANALYSIS, 2014,
[9]   Global stability of complex-valued neural networks with both leakage time delay and discrete time delay on time scales [J].
Chen, Xiaofeng ;
Song, Qiankun .
NEUROCOMPUTING, 2013, 121 :254-264
[10]   Boundedness and Stability for Discrete-Time Delayed Neural Network with Complex-Valued Linear Threshold Neurons [J].
Duan, Chengjun ;
Song, Qiankun .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
1234