Eur. Phys. J. Plus (2019) 134: 292
https://doi.org/10.1140/epjp/i2019-12674-2

Regular Article

Linear feedback synchronization and anti-synchronization of a class of fractional-order chaotic systems based on triangular structure

College of Electrical Engineering and Automation, Shandong University of Science and Technology, 266590, Qingdao, China

^* e-mail: pengchenchen1029@163.com

Received: 20 July 2018
Accepted: 7 April 2019
Published online: 26 June 2019

Abstract

This paper is devoted to investigating the synchronization and the anti-synchronization of a class of fractional-order chaotic systems (FOCSs). Based on triangular structure, two more cases are considered to improve the applicability: FOCSs can be transformed into the structure by appropriate non-singular coordinate transformations completely or partly. Different from the previous works, the controllers designed by linear feedback technique combining Mittag-Leffler stability with triangular structure in this paper are single and linear ones, which can guarantee the synchronization and the anti-synchronization of complex FOCSs effectively. Several illustrative examples are presented to verify the efficiency of the obtained results.