Synchronization of Two Physical Systems with Fully Unknown Parameters by Adaptive Control

Abstract

In this paper, the chaos and chaos synchronism of two physical systems are studied further by numerical simulation. The adaptive synchronism method is used to synchronize Rikitake and Porous Media systems with fully unknown parameters and two significantly different initial conditions. The sufficient condition of global asymptotic synchronization with adaptive control amplitudes is attained from the theory of Lyapunov stability. Numerical simulations show the effectiveness and feasibility of the scheme in synchronizing two systems with different structure and initial conditions, and the proposed methods have some more advantageous and succinct excellence than others, can be extended to other applications.