Chaos Synchronization of Fractional-order systems via Adaptive Control Method

Abstract

In this research, we employ the Adaptive Control Method to synchronize fractional-order chaotic systems using Lyapunov stability theory, when system parameters are unknown. The proposed synchronization approach aims to ensure that the states of two fractional-order chaotic systems become asymptotically synchronized through Lyapunov stability theory. Numerical simulations validate the effectiveness of our method and the resulting outcomes.