Linear generalized outer synchronization between two complex dynamical networks with time-varying coupling delay

In this paper, the problem of linear generalized outer synchronization between two complex dynamical networks with the time-varying coupling delay, different connection topologies and diverse dynamical nodes, is investigated. Based on LaSalle's invariance principle, some criteria for the linear generalized outer synchronization between two complex dynamical networks are achieved via the adaptive control method. Moreover, the presented results here can also be applied to a great many complex dynamical networks. Some numerical simulations are provided to show the effectiveness and feasibility of the proposed synchronization method.