INTRODUCTION TO COMPLEX NETWORKS AND THEIR RECENT ADVANCES

This article introduces the new notion of complex networks,especially the representative models of random-graph networks,small-world networks and scale-free networks as well as related basic concepts and modeling parameters.It also briefly summarizes their applications to biological systems and neural networks, epidemic spreading and immunization over networks,transportation systems,social and economic networks, wireless communication and sensor networks.And finally it reviews the problems of distributed control,stability and consensus analysis in their applications to swarming,flocking and synchronization.