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最近,在导师武汉大学邹秀芬教授的悉心指导下,自已关于多层网络控制能量和能控性工作(Control energy and controllability of multilayer networks.pdf)被Advances in Complex Systems接受发表,希望大家喜欢。
Title: Control energy and controllability of multilayer networks
Published Online: http://www.worldscientific.com/doi/abs/10.1142/S0219525917500084
Abstract: The controllability of multilayer networks has become increasingly important in many areas of science and engineering. In this paper, we identify the general rules that determine the controllability and control energy cost of multilayer networks. First, we quantitatively estimate the control energy cost of multilayer networks and investigate the impacts of different coupling strength and coupling patterns on the control energy cost for multilayer networks. The results indicate that the average energy and the coupling strength have an approximately linear relationship in multilayer networks with two layers. Second, we study how the coupling strength and the connection patterns between different layers affect the controllability of multilayer networks from both theoretical and numerical aspects. The obtained piecewise function relations between the controllability’s measure and coupling strength reveal that the existence of an optimal coupling strength for the different interconnection strategies in multilayer networks. In particular, the numerical experiments demonstrate that there exists a tradeoff between the optimal controllability and optimal control energy for selecting inter-layer connection patterns in multilayer networks. These results provide a comprehensive understanding of the impact of interlayer couplings on the controllability and control energy cost for multilayer networks and provide a methodology for selecting the control nodes and coupling strength to maximize the controllability and minimize the control energy cost.
Keywords: Multilayer networks; controllability; control energy; coupling strength; coupling patterns.
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