Dynamics Analysis Of Heterogeneous Multilayer Complex Networks

With the rapid development of modern information technology,network science has gradually attracted of researcher’s attention.Network has brought convenience to people’s daily life,therefore the study on the network is becoming more and more extensive.Compared with the rich research results of single-layer complex networks,the study on the multi-layer complex networks is in the rising stage.Due to the influence of parameter disturbance,the nodes often exhibit heterogeneous characteristics in both single-layer and multi-layer complex networks.Therefore,heterogeneous complex networks are more ubiquitous in reality.This thesis studies the heterogeneous multilayer complex networks,including the distributed node-to-node quasi-consensus of heterogeneous driveresponse linear multi-agent system,the distributed node-to-node quasi-consensus of heterogeneous drive-response nonlinear multi-agent system,and quasi-synchronization of heterogeneous multi-layer complex network under the denial-of-service attacks.The details are as follows:(1)For a class of heterogeneous drive-response linear multi-agent system,based on the leaderfollower mechanism,the first node is set as the root node and regarded as the leader of the whole driver layer network.The adaptive control is applied to the response layer network,and the corresponding adaptive control strategy is designed.By using linear matrix inequality method and Lyapunov stability theory,a sufficient criterion of node-to-node quasi-consensus is derived between the heterogeneous driver layer network and the response layer network.(2)For a class of heterogeneous driver-response nonlinear multi-agent system with Lipschitz type dynamics,the internal nodes of each layer network and the corresponding nodes of driverresponse network are assumed to be heterogeneous.Quasi-consensus is first proved to be achievable in the drive layer network,then an adaptive consensus control protocol is designed for the response layer network,and a sufficient criterion of node-to-node quasi-consensus is derived between the heterogeneous nonlinear driver layer network and the response layer network.(3)For a class of heterogeneous multi-layer complex networks under the denial-of-service attacks,an intermittent pinning control protocol is designed,and the denial-of-service attacks without and with input delay are discussed.By using Lyapunov stability theory and linear matrix inequality method,sufficient conditions for quasi-synchronization of heterogeneous multi-layer complex networks under the denial-of-service attacks are obtained.In addition,the upper bound of quasisynchronization errors is estimated.