On the Structural and Strong Structural Controllability of Undirected Networks
On the Structural and Strong Structural Controllability of Undirected Networks
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DOI：
10.1109/tac.2017.2762620
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发表时间：
2018-07
影响因子：
6.8
通讯作者：
S. Mousavi;M. Haeri;M. Mesbahi
中科院分区：
文献类型：
--
作者：
S. Mousavi;M. Haeri;M. Mesbahi
通过网络的拓扑结构来刻画网络的可控性，近年来在系统和控制领域得到了广泛的关注。使用平衡集的概念，在这份说明中，这样一个网络为中心的方法，某些家庭的无向网络的可控性进行了研究。此外，通过引入广义迫零集的概念，讨论了无向网络的结构能控性，并由此导出了能控子空间维数的下界.此外，提出了一种方法，便于合成的结构和强结构可控网络，以及检查保存网络的可控性下的结构扰动。
Characterization of network controllability through its topology has recently gained a lot of attention in the systems and control community. Using the notion of balancing sets, in this note, such a network-centric approach for the controllability of certain families of undirected networks is investigated. Moreover, by introducing the notion of a generalized zero forcing set, the structural controllability of undirected networks is discussed; in this direction, lower bounds on the dimension of the controllable subspace are derived. In addition, a method is proposed that facilitates synthesis of structural and strong structural controllable networks as well as examining preservation of network controllability under structural perturbations.