Based on sliding mode control to synchronize of switched fractional Lorenz systems

The problem of synchronization for fractional master-slave Lorenz chaotic systems coupled with switched modified is investigated. Based on the Lyapunov stability theory and using the sliding mode control technique, a control scheme containing a new fraction-integer integral (FII) switching surface is developed to guarantee the synchronization of fractional Lorenz chaotic systems even when the switched modified is present. Numerical simulations are included to demonstrate the effectiveness of the proposed synchronization scheme.

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