• DocumentCode
    771448
  • Title

    Canonical piecewise-linear representation

  • Author

    Chua, Leon O. ; Deng, An-Chang

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
  • Volume
    35
  • Issue
    1
  • fYear
    1988
  • fDate
    1/1/1988 12:00:00 AM
  • Firstpage
    101
  • Lastpage
    111
  • Abstract
    Every continuous piecewise-linear function of one variable f :R1→R1 has a unique canonical piecewise-linear representation. However, only a subclass of higher-dimensional piecewise-linear functions f:Rn→Rn, n>1, has a canonical piecewise-linear representation. It is proved that the necessary and sufficient conditions for the existence of a canonical piecewise-linear representation is that fpossess a consistent variation property. The geometrical constraints imposed by this property are analyzed and discussed in detail along with many examples
  • Keywords
    nonlinear network analysis; piecewise-linear techniques; canonical piecewise-linear representation; consistent variation property; continuous piecewise-linear function; geometrical constraints; network analysis; nonlinear circuits; Circuit analysis; Helium; Lattices; MOSFETs; Nonlinear circuits; Nonlinear equations; Partitioning algorithms; Performance analysis; Piecewise linear techniques; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/31.1705
  • Filename
    1705
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=771448