• DocumentCode
    807889
  • Title

    Homeomorphic piecewise-linear resistive networks

  • Author

    Prasad, V.C.

  • Author_Institution
    Dept. of Electr. Eng., Indian Inst. of Technol., New Delhi
  • Volume
    35
  • Issue
    2
  • fYear
    1988
  • fDate
    2/1/1988 12:00:00 AM
  • Firstpage
    251
  • Lastpage
    253
  • Abstract
    Homeomorphism of matrix equations of the form f(x)=g(x)+Hx=y, where g is nondiagonal, is studied. It is shown that contrary to common belief, from a practical point of view, the condition that the Jacobian determinant is nonzero and has the same sign in all the regions is a necessary as well as a sufficient condition
  • Keywords
    matrix algebra; nonlinear network analysis; piecewise-linear techniques; Jacobian determinant; matrix equations; nonlinear networks; piecewise-linear resistive networks; Active filters; Appraisal; Circuit simulation; Circuit theory; Electronic circuits; Jacobian matrices; Nonlinear equations; Operational amplifiers; Piecewise linear techniques; Resistors;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/31.1731
  • Filename
    1731
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=807889