Comments on "Upper and Lower Bounds for Controllable Subspaces of Networks of Diffusively Coupled Agents"

A condition for controllability of a network of diffusively coupled linear agents with sparse actuation, which was developed in <xref ref-type="bibr" rid="ref1">[1] , is examined. An example is presented which demonstrates that the condition is not always sufficient for con...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 63; no. 7; p. 2306
Main Authors Xue, Mengran, Roy, Sandip
Format Journal Article
LanguageEnglish
Published IEEE 01.07.2018
Subjects
Controllability
Controllability of dynamical networks
eigenvalue decomposition
Eigenvalues and eigenfunctions
Multi-agent systems
Symmetric matrices
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Summary:A condition for controllability of a network of diffusively coupled linear agents with sparse actuation, which was developed in <xref ref-type="bibr" rid="ref1">[1] , is examined. An example is presented which demonstrates that the condition is not always sufficient for controllability. The gap in the original proof is clarified, and issues related to developing a necessary and sufficient condition are briefly discussed.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2017.2761868