Adaptive Projective Synchronization between Two Different Fractional-Order Chaotic Systems with Fully Unknown Parameters. (28th February 2012)

• Record Type: Journal Article
• Authors: Chen, Liping; Wei, Shanbi; Chai, Yi; Wu, Ranchao
• Other Names: Cannarsa Piermarco Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2012(2012)
• Publication Date: 2012-02-28
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2012/916140
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : Projective synchronization between two different fractional-order chaotic systems with fully unknown parameters for drive and response systems is investigated. On the basis of the stability theory of fractional-order differential equations, a suitable and effective adaptive control law and a parameter update rule for unknown parameters are designed, such that projective synchronization between the fractional-order chaotic Chen system and the fractional-order chaotic Lü system with unknown parameters is achieved. Theoretical analysis and numerical simulations are presented to demonstrate the validity and feasibility of the proposed method.