Passivity analysis of memristor-based recurrent neural networks with time-varying delays

被引:85
作者
Wen, Shiping [1 ,2 ]
Zeng, Zhigang [1 ,2 ]
Huang, Tingwen [3 ]
Chen, Yiran [4 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China
[2] Educ Minist China, Key Lab Image Proc & Intelligent Control, Wuhan 430074, Peoples R China
[3] Texas A&M Univ Qatar, Doha 5825, Qatar
[4] Univ Pittsburgh, Dept Elect & Comp Engn, Pittsburgh, PA 15261 USA
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 08期
基金
高等学校博士学科点专项科研基金;
关键词
GLOBAL EXPONENTIAL STABILITY; HETEROGENEOUS MULTIAGENT SYSTEMS; STRONG EXTERNAL STIMULI; ASYMPTOTIC STABILITY; MULTIPLICATIVE NOISES; DISTRIBUTED DELAYS; TRACKING CONTROL; SYNCHRONIZATION; UNCERTAINTY; DEVICE;
D O I
10.1016/j.jfranklin.2013.05.026
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 investigates the delay-dependent exponential passivity problem of the memristor-based recurrent neural networks (RNNs). Based on the knowledge of memristor and recurrent neural network, the model of the memristor-based RNNs is established. Taking into account of the information of the neuron activation functions and the involved time-varying delays, several improved results with less computational burden and conservatism have been obtained in the sense of Filippov solutions. A numerical example is presented to show the effectiveness of the obtained results. (C) 2013 The Franklin Institute, Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:2354 / 2370
页数:17
相关论文
共 52 条
[1]  
[Anonymous], P 2009 IEEE ACM C HI
[2]  
[Anonymous], 1988, Differential Equations with Discontinuous Righthand Sides
[3]  
Bacciotti A., 2005, LYUPUNOV FUNCTIONS S
[4]   Linear matrix inequality approach for synchronization control of fuzzy cellular neural networks with mixed time delays [J].
Balasubramaniam, P. ;
Kalpana, M. ;
Rakkiyappan, R. .
CHINESE PHYSICS B, 2012, 21 (04)
[5]   Global robust stability of delayed recurrent neural networks [J].
Cao, JD ;
Huang, DS ;
Qu, YZ .
CHAOS SOLITONS & FRACTALS, 2005, 23 (01) :221-229
[6]   Global synchronization in an array of delayed neural networks with hybrid coupling [J].
Cao, Jinde ;
Chen, Guanrong ;
Li, Ping .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (02) :488-498
[7]   Global asymptotical stability of recurrent neural networks with multiple discrete delays and distributed delays [J].
Cao, Jinde ;
Yuan, Kun ;
Li, Han-Xiong .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (06) :1646-1651
[8]   An estimation of upperbound of delays for global asymptotic stability of delayed Hopfield neural networks [J].
Chen, AP ;
Cao, JD ;
Huang, LH .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (07) :1028-1032
[9]   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
[10]   An ON-OFF orientation selective address event representation image transceiver chip [J].
Choi, TYW ;
Shi, BE ;
Boahen, KA .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2004, 51 (02) :342-353