Synchronization of Uncertain Lorenz Chaotic Systems Based on a Novel Active Pining Control

Abstract

This paper discusses the synchronization of two Lorenz chaotic systems with parameters perturbation. Based on active control strategy, a novel active pining control synchronization approach is presented. The design of the whole controller only uses a system state. According to Lyapunov stability theory, the synchronization conditions of active pining control method for the two uncertain chaotic systems are given. And robust stability of uncertain chaotic systems synchronization is guaranteed. Numerical simulations are used to show the robustness and effectiveness of the proposed control strategy.