Adaptive Control for Synchronization of Identical and Non-Identical chaotic Systems with Unknown Parameters

Abstract

In this paper, adaptive control theory is utilized to derive nonlinear controllers for the synchronization of two identical and non-identical chaotic systems with unknown parameters. Based on the Lyapunov stability theory, the adaptive control laws for synchronization controllers associated with adaptive update laws of system parameters are developed to make the states of two identical and non-identical systems synchronized. The feasibility of the obtained results are validated with numerical simulation.