Generalized Combination Complex Synchronization for Fractional-Order Chaotic Complex Systems

Author: Jiang Cuimei   Liu Shutang   Wang Da  

Publisher: MDPI

E-ISSN: 1099-4300|17|8|5199-5217

ISSN: 1099-4300

Source: Entropy, Vol.17, Iss.8, 2015-07, pp. : 5199-5217

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Abstract

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.