Structurally robust control of complex networks
Structurally robust control of complex networks
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DOI：
10.1103/physreve.91.012826
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发表时间：
2015-01-30
影响因子：
2.4
通讯作者：
Akutsu, Tatsuya
中科院分区：
文献类型：
--
作者：
Nacher, Jose C.;Akutsu, Tatsuya
鲁棒控制理论已经成功地应用于许多现实世界的问题，使用一小组设备称为控制器。然而，真实的系统所代表的网络包含不可靠的组件和现代鲁棒控制工程尚未解决的问题，包括无标度拓扑结构的复杂网络的结构变化。在这里，我们介绍了复杂网络的结构鲁棒控制的概念，并提供了一个具体的例子，使用的算法框架，在工程中广泛应用。发达的分析工具，计算机模拟，和真实的网络分析导致在这里发现，鲁棒控制可以实现在无标度网络与完全相同的顺序所需的控制器在一个标准的非鲁棒配置，通过调整只有最小程度。所提出的方法还解决了在真实的系统，如秀丽隐杆线虫神经突触的不可靠性的链接的概率故障，并提出了一个新的方向，追求在复杂网络的研究中，控制理论的作用。
Robust control theory has been successfully applied to numerous real-world problems using a small set of devices called controllers. However, the real systems represented by networks contain unreliable components and modern robust control engineering has not addressed the problem of structural changes on complex networks including scale-free topologies. Here, we introduce the concept of structurally robust control of complex networks and provide a concrete example using an algorithmic framework that is widely applied in engineering. The developed analytical tools, computer simulations, and real network analyses lead herein to the discovery that robust control can be achieved in scale-free networks with exactly the same order of controllers required in a standard nonrobust configuration by adjusting only the minimum degree. The presented methodology also addresses the probabilistic failure of links in real systems, such as neural synaptic unreliability in Caenorhabditis elegans, and suggests a new direction to pursue in studies of complex networks in which control theory has a role.