Exponential synchronization of memristor-based recurrent neural networks with time delays

被引:152
作者
Wu, Ailong [1 ,2 ]
Zeng, Zhigang [1 ,2 ]
Zhu, Xusheng [3 ]
Zhang, Jine [3 ]
机构
[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China
[2] Educ Minist China, Key Lab Image Proc & Intelligent Control, Wuhan 430074, Peoples R China
[3] E China Jiaotong Univ, Sch Basic Sci, Nanchang 330013, Peoples R China
基金
高等学校博士学科点专项科研基金;
关键词
Memristor; Circuit analysis; Recurrent neural networks; Synchronization control; NONLINEAR-SYSTEM IDENTIFICATION; DISTRIBUTED DELAYS; STABILITY ANALYSIS; DISCRETE; ELEMENT;
D O I
10.1016/j.neucom.2011.04.016
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 synchronization control of a general class of memristor-based recurrent neural networks with time delays is investigated. A delay-dependent feedback controller is derived to achieve the exponential synchronization based on the drive-response concept, linear matrix inequalities (LMIs) and Lyapunov functional method. Finally, a numerical example is given to illustrate the derived theoretical results. Crown Copyright (C) 2011 Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:3043 / 3050
页数:8
相关论文
共 30 条
[1]  
[Anonymous], 1988, Differential Equations with Discontinuous Righthand Sides
[2]   Delay-dependent exponential stability of neural networks with variable delay: An LMI approach [J].
Chen, Wu-Hua ;
Lu, Xiaomei ;
Guan, Zhi-Hong ;
Zheng, Wed Xing .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (09) :837-842
[3]   MEMRISTOR - MISSING CIRCUIT ELEMENT [J].
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+
[4]   Nonlinear Dynamics of Memristor Oscillators [J].
Corinto, Fernando ;
Ascoli, Alon ;
Gilli, Marco .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011, 58 (06) :1323-1336
[5]  
Hu J., 2010, 2010 INT JOINT C NEU, P1, DOI DOI 10.1109/IJCNN.2010.5596359
[6]   MEMRISTOR CELLULAR AUTOMATA AND MEMRISTOR DISCRETE-TIME CELLULAR NEURAL NETWORKS [J].
Itoh, Makoto ;
Chua, Leon O. .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (11) :3605-3656
[7]   MEMRISTOR OSCILLATORS [J].
Itoh, Makoto ;
Chua, Leon O. .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (11) :3183-3206
[8]   Exponential synchronization of chaotic neural networks with mixed delays [J].
Li, Tao ;
Fei, Shu-min ;
Zhu, Qing ;
Cong, Shen .
NEUROCOMPUTING, 2008, 71 (13-15) :3005-3019
[9]   Synchronization control of recurrent neural networks with distributed delays [J].
Li, Tao ;
Fei, Shu-min ;
Zhang, Kan-jian .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (04) :982-996
[10]   Synchronization control of chaotic neural networks with time-varying and distributed delays [J].
Li, Tao ;
Song, Ai-guo ;
Fei, Shu-min ;
Guo, Ying-qing .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) :2372-2384