Strong structural controllability of networks under time-invariant and time-varying topological perturbations
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Date
2021-03
Publication Type
Journal Article
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yes
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Abstract
This paper investigates the robustness of strong structural controllability for linear time-invariant and linear time-varying directed networks with respect to structural perturbations, including edge deletions and additions. In this direction, we introduce a new construct referred to as a perfect graph associated with a network with a given set of control nodes. The tight upper bounds on the number of edges that can be added to, or removed from a network, while ensuring strong structural controllability, are then derived. Moreover, we obtain a characterization of critical edge-sets, the maximal sets of edges whose any subset can be respectively added to, or removed from a network, while preserving strong structural controllability. In addition, procedures for combining networks to obtain strongly structurally controllable network-of-networks are proposed. Finally, controllability conditions are proposed for networks whose edge weights, as well as their structures, can vary over time.
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published
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Journal / series
Volume
66 (3)
Pages / Article No.
1375 - 1382
Publisher
IEEE
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Subject
Strong structural controllability; Zero-forcing sets; Robustness of controllability; Network-of-networks; LTV networks; Controllability; Linear systems; Pertubation methods; Robustness; Uncertainty; Electrical engineering; Social networking (online)
Organisational unit
08686 - Gruppe Strassenverkehrstechnik
02655 - Netzwerk Stadt u. Landschaft ARCH u BAUG / Network City and Landscape ARCH and BAUG