Synchronization of a nonlinear 4D hyperchaotic system using linear feedback control strategy

Abstract

This paper uses a linear feedback control strategy to discuss the synchronization analysis of the nonlinear 4D hyperchaotic system. Targeting four control schemes, namely four, three, two, and one simple linear feedback controller, respectively, the synchronization of this hyperchaotic system was achieved through the Backstepping method. By using some simpler controllers, global asymptotic synchronization has been achieved. Among these four schemes, sufficient conditions for the synchronization of two identical hyperchaotic systems were derived using linear feedback control and the Lyapunov stability theorem. Finally, these results were validated through numerical simulation examples, demonstrating the correctness and effectiveness of the theoretical analysis.