• DocumentCode
    1155678
  • Title

    A Note on Tests for Positive-Real Functions

  • Author

    Chen, Michael Z Q ; Smith, Malcolm C.

  • Author_Institution
    Dept. of Eng., Univ. of Leicester, Leicester, MA
  • Volume
    54
  • Issue
    2
  • fYear
    2009
  • Firstpage
    390
  • Lastpage
    393
  • Abstract
    This technical note presents a modified test for positive-realness of scalar real-rational functions which avoids the need to test residue conditions. Necessary and sufficient conditions for the positive-realness of some classes of low-order real-rational functions are given by making use of the modified test.
  • Keywords
    network synthesis; passive networks; electric circuits; low-order real-rational functions; network synthesis; positive-real functions; scalar real-rational functions; Automatic control; Circuit synthesis; Circuit testing; Communication networks; Filtering; Network synthesis; Scheduling algorithm; Stochastic processes; Sufficient conditions; Transformers; Electric circuits; mechanical networks; network synthesis; passivity;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2008.2008351
  • Filename
    4782017
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1155678