Passive stability and synchronization of complex spatio-temporal switching networks with time delays

In this paper, a new model of complex spatio-temporal switching network is established. Each subsystem of the network at a different time interval corresponds to a different switching mode. Switching the signal depends on both the instant time tt and the index of node ii. Based on passivity property, the passive stability and synchronization of this kind of network with time delays are taken into account. An example and simulation results are included.