• DocumentCode
    3743924
  • Title

    Conditions on cycles for the stability of networks

  • Author

    Wilson Ong;Glenn Vinnicombe

  • Author_Institution
    University of Cambridge, United Kingdom
  • fYear
    2015
  • Firstpage
    5526
  • Lastpage
    5531
  • Abstract
    We present a new local method for checking the stability of a matrix when the matrix is viewed as a weighted directed graph. The method involves checking only the cycles of the graph, and can be applied to the companion matrix of a network to check stability of the network. The paper concludes with some applications of the method for checking network stability.
  • Keywords
    "Stability criteria","Optical wavelength conversion","Eigenvalues and eigenfunctions","Conferences","Terminology","Transfer functions"
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
  • Type

    conf

  • DOI
    10.1109/CDC.2015.7403085
  • Filename
    7403085
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3743924