Synchronisation of fractional dynamical chaotic systems with several slaves

Autor: Ardehaei, Mohsen Farmani, Farahi, Mohammad Hadi, Effati, Sohrab
Zdroj: International Journal of Dynamical Systems and Differential Equations; 2022, Vol. 12 Issue: 6 p510-526, 17p
Abstrakt: 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.
Databáze: Supplemental Index