Heterogeneity of central nodes explains the benefits of time-varying control scheduling in complex dynamical networks
Heterogeneity of central nodes explains the benefits of time-varying control scheduling in complex dynamical networks
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DOI：
10.1093/comnet/cnz001
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发表时间：
2019-02
期刊：
影响因子：
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通讯作者：
Erfan Nozari;F. Pasqualetti;J. Cortés
中科院分区：
文献类型：
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作者：
Erfan Nozari;F. Pasqualetti;J. Cortés
尽管在控制复杂的动态网络的控制方面进行了广泛的研究和显着的进步，但大多数研究和实际控制方法将其重点限制为时间不变的控制时间表（TICS）。这既是由于它们的简单性，又是因为随时间变化的控制时间表（TVC）的好处在很大程度上没有表征。在本文中，我们研究了线性和离散时间动力学的网络，并分析网络结构在TVC中的作用。首先，我们表明TVC可以显着增强小型和大型网络中抽动的网络可控性。通过分析与尺度相关的淋巴压概念，我们随后表明，最佳TVC涉及在适当的空间尺度上涉及最中心节点的驱动。因此，网络中中央节点的规模差异是确定TVC是否在何种程度上优于基于TICS的常规策略。在这里，网络的规模杂种性是指网络的中心节点在不同的空间（本地与全球）尺度上的多样化。一些分析结果和案例研究支持并说明了这种关系。
Despite extensive research and remarkable advancements in the control of complex dynamical networks, most studies and practical control methods limit their focus to time-invariant control schedules (TICS). This is both due to their simplicity and the fact that the benefits of time-varying control schedules (TVCS) have remained largely uncharacterized. In this paper we study networks with linear and discrete-time dynamics and analyze the role of network structure in TVCS. First, we show that TVCS can significantly enhance network controllability over TICS both in small and large networks. Through the analysis of a scale-dependent notion of nodal centrality, we then show that optimal TVCS involves the actuation of the most central nodes at appropriate spatial scales at all times. Consequently, it is the scale-heterogeneity of the central nodes in a network that determine whether, and to what extent, TVCS outperforms conventional policies based on TICS. Here, scale-heterogeneity of a network refers to how diverse the central nodes of the network are at different spatial (local vs. global) scales. Several analytical results and case studies support and illustrate this relationship.