Structural controllability of a consensus network with multiple leaders

Title: Structural controllability of a consensus network with multiple leaders
Creator: Mehrabadi, Milad Kazemi; Zamani, Mohsen; Chen, Zhiyong
Relation: IEEE Transactions on Automatic Control Vol. 64, Issue 12, p. 5101-5107
Publisher Link: http://dx.doi.org/10.1109/TAC.2019.2909809
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: journal article
Date: 2019
Description: This paper examines the structural controllability for a group of agents, called followers, connected to each other based on the consensus law under commands of multiple leaders, which are agents with superior capabilities, over a fixed communication topology. It is proved that the graph-theoretic sufficient and necessary condition for the set of followers to be structurally controllable under the leaders' commands is leader-follower connectivity of the associated graph topology. This shrinks to graph connectivity for the case of solo leader. In the approach, we explicitly put into account the dependence among the entries of the system matrices for a consensus network using the linear parameterization technique.
Subject: controllability; linear systems; topology; laplace equations; network topology
Identifier: http://hdl.handle.net/1959.13/1424047
Identifier: uon:38017
Identifier: ISSN:0018-9286
Language: eng
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