Synchronization of Chua's circuits based on strictly positive realness

Abstract

The purpose of this paper is to verify that the method proposed in [1] is still feasible when the nonlinear terms of the error system are some piecewise linear functions containing explicit error state variables. The synchronization of Chua's circuits is considered as an example to illustrate the validity of the method. With the aid of the stability estimation and some numerical simulation results, the feasibility and effectiveness of this method can be proven. Moreover, the synchronization controller can still be designed without considering either the chaos ranges of the variables or the variable coefficients and structures of the nonlinear terms.