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On the structural and strong structural controllability of undirected networks

Mousavi, S. S ; Sharif University of Technology | 2018

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  1. Type of Document: Article
  2. DOI: 10.1109/TAC.2017.2762620
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2018
  4. Abstract:
  5. 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. © 1963-2012 IEEE
  6. Keywords:
  7. Balancing sets ; Generalized zero forcing sets (GZFSs) ; Strong structural controllability ; Structural controllability ; Undirected networks ; Zero forcing sets (ZFSs) ; Control systems ; Mathematical models ; Controllable network ; Lower bounds ; Network-centric approach ; Structural perturbation ; Systems and control ; Undirected network ; Zero forcing sets ; Controllability
  8. Source: IEEE Transactions on Automatic Control ; Volume 63, Issue 7 , July , 2018 , Pages 2234-2241 ; 00189286 (ISSN)
  9. URL: https://ieeexplore.ieee.org/document/8066375