• DocumentCode
    1103815
  • Title

    On the stability of two-dimensional state-space systems: A special case

  • Author

    Fernando, K.V. ; Nicholson, H.

  • Author_Institution
    University of Sheffield, Sheffield, England
  • Volume
    32
  • Issue
    4
  • fYear
    1984
  • fDate
    8/1/1984 12:00:00 AM
  • Firstpage
    921
  • Lastpage
    922
  • Abstract
    The stability of two-dimensional state-space systems can be determined by knowing the zero manifolds of the characteristic equation \\det(I- z_{1}A_{1} - z_{2}A_{2}) = 0 or, equivalently, the eigenvalues of the matrix (A_{1} + e^{J\\omega }A_{2}) for all real ω. We propose a new simple test for the special case when the matrices A1and A2are simultaneously reducible to upper (or lower) triangular form. This test can also be used to simplify the general problem if these matrices are partially reducible to the triangular form.
  • Keywords
    Cepstral analysis; Cepstrum; Circuits; Control engineering; Discrete Fourier transforms; Discrete cosine transforms; Speech analysis; Speech processing; Stability; Testing;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/TASSP.1984.1164381
  • Filename
    1164381
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1103815