Adaptive Projective Synchronization between Two Different Fractional-Order Chaotic Systems with Fully Unknown Parameters

Liping Chen, Shanbi Wei, Yi Chai and Ranchao Wu

Mathematical Problems in Engineering, 2012, vol. 2012, 1-16

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:916140

DOI: 10.1155/2012/916140

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