| Both structural controllability and temporal networks have proven to be useful tools for studying complex systems.In the study of complex networks,its controllability is one of the most basic issues.This paper is dedicated to establishing the connection between the two,and mainly studies the structural controllability of temporal networks based on time-varying topologies.The graph theory tools and mathematical models are mainly used to determine the structural controllability and optimization of the temporal network.Based on this,the diffusion dynamics of the networks with non-Markov properties is further studied.The main research contents and contributions include:First,a systematic summary of the current status of domestic and foreign research on the problem of temporal networks and its background and significance is made.The related definitions and model building problems of a temporal networks are explained in detail.The mathematical model and graph theory method used to study the controllability of temporal network structures are introduced in detail.Based on the research on the controllability of the temporal network structure,the optimization of the controllability of the temporal networks structure is analyzed by determining the number of the largest mismatched nodes in the networks and the selection of the minimum driving node set.In this problem,how to determine the controllability of multi-input networks is given.In order to further study the temporal networks,in the following research,the construction method of high-order temporal networks and how to determine whether a given temporal network has non-Markov characteristics are given.The non-Markov characteristics produced by the orderly interaction of temporal networks are considered to be one of the important mechanisms that change the causality of network structures and affect dynamic processes.Under this premise,this article describes how to analyze the problem of diffusion dynamics in non-Markov temporal networks. |
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