Synchronisation of fractional dynamical chaotic systems with several slaves
by Mohsen Farmani Ardehaei; Mohammad Hadi Farahi; Sohrab Effati
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 12, No. 6, 2022

Abstract: In this paper, a synchronisation of dynamical chaotic systems in fractional order using active control is considered. A novel back-stepping approach is proposed to design an active control and a Lyapunov function. This method is an approach that interlaces the design of active control with the choice of a Lyapunov function. Based on stability theorems in fractional calculus, analysis of stability is performed for the proposed method. Numerical results illustrate the effectiveness of the method.

Online publication date: Fri, 06-Jan-2023

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