• DocumentCode
    3693145
  • Title

    A convex conic underestimate of Laplacian spectra and its application to network synthesis

  • Author

    Jan Maximilian Montenbruck;Alexander Birk;Frank Allgöwer

  • Author_Institution
    Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany
  • fYear
    2015
  • fDate
    7/1/2015 12:00:00 AM
  • Firstpage
    563
  • Lastpage
    568
  • Abstract
    We derive sufficient conditions on the eigenvectors and eigenvalues of a matrix for letting it be the Laplacian of an undirected, weighted graph. The derived conditions are convex conic and apply to network synthesis problems. We present an algorithmic implementation of the proposed synthesis procedure.
  • Keywords
    "Laplace equations","Radio frequency","Network synthesis","Eigenvalues and eigenfunctions","Integrated circuits","Minimization","Europe"
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2015 European
  • Type

    conf

  • DOI
    10.1109/ECC.2015.7330603
  • Filename
    7330603