Active Sliding Mode for Synchronization of a Wide Class of Four-Dimensional Fractional-Order Chaotic Systems | Zendy

Bin Wang | Zendy; Zhou Yuangui | Zendy; Jianyi Xue | Zendy; Delan Zhu | Zendy

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Active Sliding Mode for Synchronization of a Wide Class of Four-Dimensional Fractional-Order Chaotic Systems

Author(s) -

Bin Wang,

Zhou Yuangui,

Jianyi Xue,

Delan Zhu

Publication year - 2014

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.1155/2014/472371

Subject(s) - synchronization (alternating current) , synchronization of chaos , class (philosophy) , control theory (sociology) , chaotic systems , chaotic , order (exchange) , mode (computer interface) , stability (learning theory) , focus (optics) , integer (computer science) , mathematics , computer science , topology (electrical circuits) , control (management) , physics , artificial intelligence , finance , combinatorics , machine learning , economics , optics , programming language , operating system

We focus on the synchronization of a wide class of four-dimensional (4-D) chaotic systems. Firstly, based on the stability theory in fractional-order calculus and sliding mode control, a new method is derived to make the synchronization of a wide class of fractional-order chaotic systems. Furthermore, the method guarantees the synchronization between an integer-order system and a fraction-order system and the synchronization between two fractional-order chaotic systems with different orders. Finally, three examples are presented to illustrate the effectiveness of the proposed scheme and simulation results are given to demonstrate the effectiveness of the proposed method.

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