• DocumentCode
    826317
  • Title

    Eigenvalue-based algorithms for testing positive realness of SISO systems

  • Author

    Gao, Weiguo ; Zhou, Yishao

  • Author_Institution
    Dept. of Math., Fudan Univ., Shanghai, China
  • Volume
    48
  • Issue
    11
  • fYear
    2003
  • Firstpage
    2051
  • Lastpage
    2055
  • Abstract
    A computational test for scalar positive real and strictly positive real functions is proposed in this paper. The input for this algorithm is state space representation, not necessarily minimal. It is derived for the discrete time problem, based on numerical stable eigenvalue computations. The test can be used in the continuous counterpart, which is in fact an improvement of an algorithm posed by Bai and Freund. Differences between the discrete and continuous time problems are also pointed out.
  • Keywords
    continuous time systems; discrete time systems; eigenvalues and eigenfunctions; state-space methods; SISO systems; continuous time problems; discrete time problem; eigenvalue-based algorithms; numerical stable eigenvalue computations; positive realness testing; state space representation; Councils; Discrete time systems; Eigenvalues and eigenfunctions; Mathematics; Stability; State-space methods; System testing; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2003.819302
  • Filename
    1245201
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=826317