节点动力学而不是度分布决定了复杂网络的结构可控性
Nodal dynamics, not degree distributions, determine the structural controllability of complex networks
摘要：
结构可控性已经被提出作为一种分析框架，用于对物理和生命科学中的无数学科的复杂网络的控制进行预测（Liu等人，Nature：473（7346）：167-173，2011）。虽然控制理论和网络分析的集成是很重要的，我们认为，结构可控性框架的应用程序，如果不是所有的真实世界的网络导致的结论是，一个单一的控制输入，适用于电源支配集（PDS），是所有需要的结构可控性。这一结果与能控性及其对偶能观性是系统的一般性质这一众所周知的事实是一致的。我们认为，比结构可控性问题更重要的是一个系统是否几乎不可控的问题，它是否几乎是不可观测的，它是否具有几乎零极点取消。
英文摘要：
Structural controllability has been proposed as an analytical framework for making predictions regarding the control of complex networks across myriad disciplines in the physical and life sciences (Liu et al., Nature:473(7346):167-173, 2011). Although the integration of control theory and network analysis is important, we argue that the application of the structural controllability framework to most if not all real-world networks leads to the conclusion that a single control input, applied to the power dominating set (PDS), is all that is needed for structural controllability. This result is consistent with the well-known fact that controllability and its dual observability are generic properties of systems. We argue that more important than issues of structural controllability are the questions of whether a system is almost uncontrollable, whether it is almost unobservable, and whether it possesses almost pole-zero cancellations.
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