Adaptive synchronization of Lorenz systems using a reduced number of control signals and parameters without knowing bounds on system parameters and trajectories

Abstract

This article analyzes the synchronization of two Lorenz systems with unknown but matched parameters. The proposed control strategies use a reduced number of control signals and adjustable parameters, without any assumption on the boundedness of the master system state trajectories. The stability and convergence of the synchronization errors are analytically demonstrated. Some simulations studies are presented, in order to verify the effectiveness of the proposed control strategy and comparing with known results.