Active Sliding Mode for Synchronization of a Wide Class of Four-Dimensional Fractional-Order Chaotic Systems. (19th March 2014)

• Record Type: Journal Article
• Authors: Wang, Bin; Zhou, Yuangui; Xue, Jianyi; Zhu, Delan
• Other Names: El-Sayed A. Academic Editor.; Join C. Academic Editor.
• Is Part Of: ISRN applied mathematics. Volume 2014(2014)
• Publication Date: 2014-03-19
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; Electronic journals; 510
• DOI: 10.1155/2014/472371
• Languages: English
• ISSNs: 2090-5564

Abstract

Abstract : 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.