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research-article

Synchronization for incommensurate Riemann-Liouville fractional-order time-delayed competitive neural networks with different time scales and known or unknown parameters

[+] Author and Article Information
Yajuan Gu

Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, P.R. China
16118413@bjtu.edu.cn

Hu Wang

School of Statistics and Mathematics, Central University of Finance and Economics, Beijing, 100081, P.R. China
wanghu1985712@163.com

Yongguang Yu

Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, P.R. China
ygyu@bjtu.edu.cn

1Corresponding author.

ASME doi:10.1115/1.4042494 History: Received September 07, 2018; Revised December 26, 2018

Abstract

Synchronization for incommensurate Riemann-Liouville fractional competitive neural networks with different time scales is investigated in this paper. Time delays and unknown parameters are concerned in the model, which is more practical. Two simple and effective controllers are proposed respectively, such that synchronization between the salve system and the master system with known or unknown parameters can be achieved. The methods are more general and less conservative which can also be applied to commensurate integer-order systems and commensurate fractional systems. Furthermore, two numerical ensamples are provided to show the feasibility of the approach. Based on the chaotic masking method, the example of chaos synchronization application for secure communication is provided.

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