Abstract
Temporal network, whose topology evolves with time, is an important class of complex networks. Temporal trees of a temporal network describe the necessary edges sustaining the network as well as their active time points. By a switching controller which properly selects its location with time, temporal trees are used to improve the controllability of the network. Therefore, more nodes are controlled within the limited time. Several switching strategies to efficiently select the location of the controller are designed, which are verified with synthetic and empirical temporal networks to achieve better control performance.
Highlights
Since the seminal work of the Watts-Strogatz (WS) and Barabasi-Albert (BA) models [1][2], we have a better understanding of our real world from the perspective of complex network science
A temporal network is associated with a Linear Time-Variant (LTV) system as [38]
XðkÞ 1⁄4 1⁄2x1ðkÞ; x2ðkÞ; Á Á Á ; xNðkÞT 2 RN is the vector of nodes, N denotes the number of nodes in the network
Summary
Since the seminal work of the Watts-Strogatz (WS) and Barabasi-Albert (BA) models [1][2], we have a better understanding of our real world from the perspective of complex network science. With the development of portable electronic devices nowadays, people find that many real-world networks, generated from e-mail contacts [3], instant messages [4], online forums [5] and WiFi records [6,7,8,9], contain a plenty of temporal information which yields temporal networks [10]. Not satisfied with understanding complex networks (no matter they are temporal or not), people are more willing to reform and control complex networks to improve their performances. Network control has been investigated in various areas, such as human brain networks [23] and smart grids [24, 25]
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