• DocumentCode
    861606
  • Title

    Strictly positive real matrices and the Lefschetz-Kalman-Yakubovich lemma

  • Author

    Tao, G. ; Ioannou, P.A.

  • Author_Institution
    Dept. of Electr. Eng.-Syst., Univ. of Southern California, Los Angeles, CA, USA
  • Volume
    33
  • Issue
    12
  • fYear
    1988
  • Firstpage
    1183
  • Lastpage
    1185
  • Abstract
    The authors give necessary and sufficient conditions in the frequency domain for rational matrices to be strictly positive real. Based on this result, the matrix form of the Lefschetz-Kalman-Yakubovich lemma is proved, which gives necessary and sufficient conditions for strictly positive real transfer matrices in the state-space realization form.<>
  • Keywords
    frequency-domain analysis; matrix algebra; state-space methods; transfer functions; Lefschetz-Kalman-Yakubovich lemma; frequency domain; necessary condition; state-space realization; strictly positive real transfer matrices; sufficient conditions; Frequency domain analysis; Sufficient conditions; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.14449
  • Filename
    14449
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=861606