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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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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Abstract 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.
AbstractList 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.
Author Xue, Mengran
Roy, Sandip
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Cites_doi 10.1109/TAC.2013.2275666
10.1109/TAC.2015.2495623
10.1016/j.automatica.2016.03.013
10.1109/81.473586
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References xue (ref5) 2012
ref2
ref1
ref4
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wu (ref6) 1995; 42
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  doi: 10.1016/j.automatica.2016.03.013
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  start-page: 775
  year: 1995
  ident: ref6
  article-title: Application of Kronecker products to the analysis of systems with uniform linear coupling
  publication-title: IEEE Trans Circuits Syst I Fund Theory Appl
  doi: 10.1109/81.473586
  contributor:
    fullname: wu
– start-page: 3916
  year: 2012
  ident: ref5
  article-title: Input-output properties of linearly-coupled dynamical systems: Interplay between local dynamics and network interactions
  publication-title: Proc IEEE Conf Decis Control
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    fullname: xue
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  doi: 10.1137/060674909
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Snippet A condition for controllability of a network of diffusively coupled linear agents with sparse actuation, which was developed in <xref ref-type="bibr"...
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StartPage 2306
SubjectTerms Controllability
Controllability of dynamical networks
eigenvalue decomposition
Eigenvalues and eigenfunctions
Multi-agent systems
Symmetric matrices
Title Comments on "Upper and Lower Bounds for Controllable Subspaces of Networks of Diffusively Coupled Agents"
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Volume 63
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