Synchronization of neural networks with memristor-resistor bridge synapses and Levy noise

被引：6

作者：

Li, Liangchen ^{[1
]}

Xu, Rui ^{[2
]}

Gan, Qintao ^{[1
]}

Lin, Jiazhe ^{[1
]}

机构：

[1] Army Engn Univ, Inst Appl Math, Shijiazhuang 050003, Hebei, Peoples R China

[2] Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China

来源：

NEUROCOMPUTING | 2021年 / 432卷

基金：

中国国家自然科学基金;

关键词：

Memristor; Neural networks; Levy noise; Exponential synchronization; TIME; DISSIPATIVITY; STABILITY;

D O I：

10.1016/j.neucom.2020.12.041

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, a kind of memristor-resistor bridge synapses are applied to neural networks, which makes the connection weights of networks continuously adjustable. A novel model for this new kind of neural networks is established, in which the memory characteristic of memristors is retained. The state synchronization of the model with the influence of Levy noise is investigated. By making use of the Ito formula for Levy process and Lyapunov method, a sufficient condition is obtained for exponentially state synchronization in mean square of the drive and response networks. Moreover, by applying controller to each synapse, the complete synchronization of the drive and response networks is achieved. Finally, numerical examples are carried out to illustrate the feasibility of theoretical results. (c) 2020 Elsevier B.V. All rights reserved.

引用

页码：262 / 274

页数：13

共 38 条

[1] Pattern classification by memristive crossbar circuits using ex situ and in situ training [J].

Alibart, Fabien ;

Zamanidoost, Elham ;

Strukov, Dmitri B. .

NATURE COMMUNICATIONS, 2013, 4

[2]

Applebaum D., 2008, Levy Processes and Stochastic Calculus, V2nd

[3] Theoretical Foundations of Memristor Cellular Nonlinear Networks: Stability Analysis With Dynamic Memristors [J].

Ascoli, Alon ;

Messaris, Ioannis ;

Tetzlaff, Ronald ;

Chua, Leon O. .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2020, 67 (04) :1389-1401

[4]

Biolek Z, 2009, RADIOENGINEERING, V18, P210

[5] 'Memristive' switches enable 'stateful' logic operations via material implication [J].

Borghetti, Julien ;

Snider, Gregory S. ;

Kuekes, Philip J. ;

Yang, J. Joshua ;

Stewart, Duncan R. ;

Williams, R. Stanley .

NATURE, 2010, 464 (7290) :873-876

[6] Everything You Wish to Know About Memristors But Are Afraid to Ask [J].

Chua, Leon .

RADIOENGINEERING, 2015, 24 (02) :319-368

[7] MEMRISTOR - MISSING CIRCUIT ELEMENT [J].

CHUA, LO .

IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+

[8]

Filippov A., 1988, DIFFERENTIAL EQUATIO

[9] Interval Type-2 FNN-Based Quantized Tracking Control for Hypersonic Flight Vehicles With Prescribed Performance [J].

Gao, Yabin ;

Liu, Jianxing ;

Wang, Zhenhuan ;

Wu, Ligang .

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 51 (03) :1981-1993

[10] Passivity Analysis of Stochastic Memristor-Based Complex-Valued Recurrent Neural Networks with Mixed Time-Varying Delays [J].

Guo, Jian ;

Meng, Zhendong ;

Xiang, Zhengrong .

NEURAL PROCESSING LETTERS, 2018, 47 (03) :1097-1113

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