• DocumentCode
    1192736
  • Title

    Stability assessment of two-dimensional state-space systems

  • Author

    Fernando, K.V. ; Nicholson, H.

  • Volume
    32
  • Issue
    5
  • fYear
    1985
  • fDate
    5/1/1985 12:00:00 AM
  • Firstpage
    484
  • Lastpage
    487
  • Abstract
    The two-dimensional Fornasini-Marchesini model [1], [2] is one of the most general state-spice models available. Although conditions for stability for this model are theoretically simple, actual numerical verification is not a trivial exercise. One way to overcome this problem is to compute the matrix norm max \\parallel A_{1} + e^{jw}A_{2} \\parallel_{1} for real w , and the system is stable if this value is less than unity. We compute this value by transforming the two-dimensional system into a canonical form based on the generalized eigenstructure of the state matrices A_{1} and A_{2} .
  • Keywords
    Multidimensional (n-D) system; Stability, linear systems; Circuit noise; Circuit stability; Circuits and systems; Fourier transforms; Optical noise; Optical sensors; Optical signal processing; Optimized production technology; Sampling methods; Signal sampling;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1985.1085736
  • Filename
    1085736
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1192736