Generalized Combination Complex Synchronization for Fractional-Order Chaotic Complex Systems

Entropy

Cuimei Jiang²  Shutang Liu¹  Da Wang²  Guanrong Chen²  C.K. Michael Tse²  Mustak E. Yalcin²  Hai Yu² 

[1] College of Control Science and Engineering, Shandong University, Jinan 250061, China;

关键词: chaotic complex systems;    fractional-order systems;    different dimensions;    generalized combination complex synchronization;   

DOI  :  10.3390/e17085199

来源: mdpi

【 摘 要 】

Based on two fractional-order chaotic complex drive systems and one fractional-order chaotic complex response system with different dimensions, we propose generalized combination complex synchronization. In this new synchronization scheme, there are two complex scaling matrices that are non-square matrices. On the basis of the stability theory of fractional-order linear systems, we design a general controller via active control. Additionally, by virtue of two complex scaling matrices, generalized combination complex synchronization between fractional-order chaotic complex systems and real systems is investigated. Finally, three typical examples are given to demonstrate the effectiveness and feasibility of the schemes.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.