Transmission projective synchronization of multi-systems with non-delayed and delayed coupling via impulsive control

Abstract

This paper mainly investigates the transmission projective synchronization of multi systems with non-delayed and delayed coupling via impulsive control. Based on the stability analysis of impulsive differential equation, the control laws and updating laws are designed to realize the transmission projective synchronization. Some criteria and corollaries are derived for the transmission projective synchronization among multi-systems. Numerical examples are presented to verify the effectiveness and correctness of the synchronization within a desired scaling factor. For the multi-systems synchronization model, it seems to have more valuable than the usual one drive system and one response system synchronization model. © 2012 American Institute of Physics.