Synchronization-based passivity of partially coupled neural networks with event-triggered communication

In this paper, synchronization-based passivity of coupled neural networks (CNNs) with partial and event-triggered communication is discussed. Event conditions are designed based on the partial couplings among neural networks. A regrouping method is introduced to build a channel Laplacian matrix which contains the structural information of both couplings and channels. Based on such new matrix, a novel error system is established for the purpose of synchronizing the CNNs. A sufficient condition for solving the synchronization problem of partially coupled neural networks is given. Moreover, the same condition can also verify the passivity of networks when noise is nonzero. Finally, a numerical example demonstrates the effectiveness of the control mechanism.