• DocumentCode
    1176770
  • Title

    The complete canonical piecewise-linear representation: functional form for minimal degenerate intersections

  • Author

    Julián, Pedro

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, CA, USA
  • Volume
    50
  • Issue
    3
  • fYear
    2003
  • fDate
    3/1/2003 12:00:00 AM
  • Firstpage
    387
  • Lastpage
    396
  • Abstract
    In this paper, we develop a functional form for canonical piecewise-linear (CPWL) functions defined over a minimal degenerate intersection of order k. This type of intersection is known to be the building block of CPWL representations. Accordingly, the representation proposed is the main component in a general CPWL representation and constitutes the first functional form that is valid in a domain that has arbitrary dimension and is subdivided by a generic partition.
  • Keywords
    functions; modelling; piecewise linear techniques; set theory; canonical PWL representations; canonical piecewise-linear representation; functional form; minimal degenerate intersections; modeling; piecewise-linear approximation; Circuits; Concrete; Piecewise linear techniques; Vectors;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/TCSI.2003.808904
  • Filename
    1193020
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1176770