Abstract
Over the past few years, dynamical behaviors of complex networks (CNs) and complex networks with multi-weights (CNMWs) have attracted considerable attention on account of their successfully applying in many distinct fields. This paper attempts to introduce some recent progress in the dynamical behaviors (including synchronization and passivity) for CNs and CNMWs under various control approaches. Firstly, we focus on synchronization, passivity, and their extensions for CNs and CNMWs. Secondly, some control methods, such as adaptive control, pinning control, and impulsive control, used in CNs and CNMWs are also discussed, where some of the existing results along these topics are presented in a tutorial-like fashion. Thirdly, we introduce several applications of synchronization in CNs and CNMWs, especially complex human networks and urban public traffic networks. These existing results are summarized and some interesting future investigations are also highlighted in end.
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