• DocumentCode
    1460721
  • Title

    Temporal and spatial stability in translation invariant linear resistive networks

  • Author

    Solak, Marek K.

  • Author_Institution
    Inst. of Fundamental Technol. Res., Polish Acad. of Sci., Warsaw, Poland
  • Volume
    8
  • Issue
    3
  • fYear
    1997
  • fDate
    5/1/1997 12:00:00 AM
  • Firstpage
    736
  • Lastpage
    747
  • Abstract
    Simple algebraic methods are proposed to evaluate the temporal and spatial stability of translation invariant linear resistive networks. Temporal stability is discussed for a finite number of nodes n. The proposed method evaluates stability of a Toeplitz pencil An(a)+μBn(b) in terms of parameters ai and bi. In many cases a simple method allows one to verify positive definition of Bn(b) in terms of bi only
  • Keywords
    Toeplitz matrices; circuit stability; computer vision; eigenvalues and eigenfunctions; neural chips; Toeplitz matrix; eigenvalues; image processing; neural chips; neural networks; nodes; spatial stability; temporal stability; translation invariant linear resistive networks; Asymptotic stability; Capacitors; Circuit stability; Eigenvalues and eigenfunctions; Image processing; Intelligent networks; Manufacturing processes; Numerical stability; Stability criteria; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Neural Networks, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1045-9227
  • Type

    jour

  • DOI
    10.1109/72.572109
  • Filename
    572109
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1460721