Exponential synchronization of stochastic time-delayed memristor-based neural networks via distributed impulsive control

被引:37
作者
Zhang, Bo [1 ,2 ]
Deng, Feiqi [3 ]
Xie, Shengli [1 ,2 ]
Luo, Shixian [3 ]
机构
[1] Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Guangdong, Peoples R China
[2] Guangdong Key Lab IoT Informat Technol, Guangzhou 510006, Guangdong, Peoples R China
[3] South China Univ Technol, Syst Engn Inst, Guangzhou 510640, Guangdong, Peoples R China
基金
中国国家自然科学基金;
关键词
Stochastic memristor-based neural networks; Distributed impulsive control; Differential inclusion; COMPLEX DYNAMICAL NETWORKS; VARYING DELAYS; STABILITY; CIRCUITS; DESIGN;
D O I
10.1016/j.neucom.2018.01.051
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The issue of exponential synchronization of stochastic time-delayed memristor-based neural networks via distributed impulsive control is considered. Based on the characteristics of memristor, the corresponding drive and response stochastic memristor-based neural networks with distributed impulsive control input are established. Then the synchronization error system is gained by using the concept of synchronization and stochastic differential inclusion theory. Through the generalized impulsive delay differential inequality technique, the criteria to guarantee that the error system is exponentially mean square stable, namely that the drive and response systems achieve the exponential synchronization is acquired. At last, the numerical simulation verifies the effectiveness of the obtained theoretical results. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:41 / 50
页数:10
相关论文
共 44 条
[1]   Finite-time synchronization for memristor-based neural networks with time-varying delays [J].
Abdurahman, Abdujelil ;
Jiang, Haijun ;
Teng, Zhidong .
NEURAL NETWORKS, 2015, 69 :20-28
[2]   Anti-synchronization of Time-delayed Chaotic Neural Networks Based on Adaptive Control [J].
Ahn, Choon Ki .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2009, 48 (12) :3498-3509
[3]   Adaptive synchronization of fractional-order memristor-based neural networks with time delay [J].
Bao, Haibo ;
Park, Ju H. ;
Cao, Jinde .
NONLINEAR DYNAMICS, 2015, 82 (03) :1343-1354
[4]   Exponential Synchronization of Coupled Stochastic Memristor-Based Neural Networks With Time-Varying Probabilistic Delay Coupling and Impulsive Delay [J].
Bao, Haibo ;
Park, Ju H. ;
Cao, Jinde .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2016, 27 (01) :190-201
[5]   Matrix measure strategies for exponential synchronization and anti-synchronization of memristor-based neural networks with time-varying delays [J].
Bao, Haibo ;
Park, Ju H. ;
Cao, Jinde .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 270 :543-556
[6]   Impulsive controller design for exponential synchronization of delayed stochastic memristor-based recurrent neural networks [J].
Chandrasekar, A. ;
Rakkiyappan, R. .
NEUROCOMPUTING, 2016, 173 :1348-1355
[7]   Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks [J].
Chen, Jiejie ;
Zeng, Zhigang ;
Jiang, Ping .
NEURAL NETWORKS, 2014, 51 :1-8
[8]   H∞ synchronization for complex dynamical networks with coupling delays using distributed impulsive control [J].
Chen, Wu-Hua ;
Jiang, Zhiyong ;
Lu, Xiaomei ;
Luo, Shixian .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2015, 17 :111-127
[9]   MEMRISTIVE DEVICES AND SYSTEMS [J].
CHUA, LO ;
KANG, SM .
PROCEEDINGS OF THE IEEE, 1976, 64 (02) :209-223
[10]   MEMRISTOR - MISSING CIRCUIT ELEMENT [J].
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+