Adaptive impulsive synchronization of a class of chaotic and hyperchaotic systems

Abstract

In this paper, the issue of synchronization and parameter identification for a class of chaotic and hyperchaotic systems is discussed. Based on the theories of adaptive control and impulsive control, a synchronization scheme is developed to achieve complete synchronization and parameter identification of a class of chaotic and hyperchaotic systems for the first time. Sufficient conditions are derived to synchronize the systems with different impulse distances. The bounds of the stable regions are also estimated. Numerical examples are presented to demonstrate the effectiveness of the proposed controllers and identifiers.