Synchronization and control of new fractional-order chaotic system based on Lyapunov Theorem

Recently, a new fractional-order chaotic system hasbeen proposed and dynamical analysis has been investigated. Inthis paper, we propose an adaptive controller for synchronizationof two master and slave systems in which the dynamical equationsobey this new fractional-order chaotic dynamics. The synthesis ofthe fractional-order error system is carried out based on theLyapunov Theorem. Compared to common Lyapunov-basedsynchronization methods for fractional-order chaotic systems, theLyapunov Theorem is extended to systems with constant and 3rdorder terms. Numerical simulations shows the validity of theproposed adaptive synchronizing controller.

Keywords:

fractional-order chaotic system , synchronization , Lyapanov Theorem