Geodesic
Chaos control and function projective synchronization of fractional-order systems through the backstepping method
Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 1, pp. 36-47
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We study the chaos control and the function projective synchronization of a fractional-order T-system and Lorenz chaotic system using the backstepping method. Based on stability theory, we consider the condition for the local stability of nonlinear three-dimensional commensurate fractional-order system. Using the feedback control method, we control the chaos in the considered fractional-order T-system. We simulate the function projective synchronization between the fractional-order T-system and Lorenz system numerically using MATLAB and depict the results with plots.
Keywords: fractional derivative, chaotic T-system, Lorenz system, backstepping method, feedback control method, Lyapunov stability theory, synchronization. 
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S. Das; V. K. Yadav. Chaos control and function projective synchronization of fractional-order systems through the backstepping method. Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 1, pp. 36-47. http://geodesic.mathdoc.fr/item/TMF_2016_189_1_a2/

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