SYNCHRONIZATION CRITERIA FOR COUPLED CHAOTIC SYSTEMS WITH PARAMETER MISMATCHES

Abstract

This paper studies synchronization between two linearly coupled non-autonomous chaotic systems with parameter mismatches. Based on Lyapunov's stability theory and Sylvester's criterion, some algebraic criteria are derived to synchronize the master and slave system with error bound. Besides, the largest synchronization error can be estimated analytically. Some numerical examples are presented to verify the effectiveness of these criteria. In the examples, the estimated largest synchronization error is compared with the evolution of the error variable, which further shows that the present techniques are effective.