Robust Synchronization of Complex Delayed Dynamical Networks Based on Impulsive Control
Quanjun Wu · Chinese Quarterly of Mechanics · 2009
Complex networks have recently attracted increasing attention from various fields of science and engineering.Especially,the study of nonlinear dynamical behaviors in complex dynamical networks,as well as how network topological structure influences its dynamical behaviors,has currently become a strategic topic of great significant.The present paper is mainly concerned with the synchronization dynamics of complex delayed dynamical networks via impulsive control.Based on the impulsive control theory on delayed dynamical systems,some simple yet generic criteria were derived for robust synchronization of complex delayed dynamical networks.It shows that these criteria can provide a novel and effective control approach to synchronize an arbitrary given delayed dynamical network to a desired synchronization state. Furthermore,the theoretical results were applied to a typical nearest neighbor coupled network composed of chaotic FHN neuron oscillators.Finally,the numerical simulations were carried out to verify the theoretical results,and also demonstrate the effectiveness of the proposed control techniques.