Adaptive function projective combination synchronization of three different fractional-order chaotic systems

Abstract In this paper, we investigate the adaptive function projective combination synchronization of three fractional-order chaotic systems: the fractional-order Lorenz system, the fractional-order Chen's system and the fractional-order Lu system. Based on the stability theory of fractional-order systems and tracking control, a controller for the synchronization of three fractional-order chaotic systems is designed, and a stability criterion for the above-mentioned systems is attained. The corresponding theoretical analysis and numerical simulations are shown to verify the feasibility and effectiveness of the proposed synchronization technique.

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