• DocumentCode
    1184536
  • Title

    The semistate description of nonlinear time-variable circuits

  • Author

    Newcomb, Robert W.

  • Volume
    28
  • Issue
    1
  • fYear
    1981
  • fDate
    1/1/1981 12:00:00 AM
  • Firstpage
    62
  • Lastpage
    71
  • Abstract
    It is shown that, by the possible use of circuit equivalences, circuits satisfying rather light assumptions possess the semistate description {cal Q} \\dot{x} + cal B(x, t)= cal D u y ={cal F} x where u = input, y = output, x = semistate, and {cal Q}, {cal D} ,{cal F} are constant operators. The semistate can be chosen as tree branch voltages and link branch currents; a determination of consistent initial semistates is given which stems from a forward stepping solution equation. An appropriate reduction with attendant signal-flow graph for design is obtained in the linear time-invariant case.
  • Keywords
    Nonlinear circuits, time-varying; Nonlinear networks, time-varying; Admittance; Circuit analysis; Gyrators; History; Nonlinear circuits; Nonlinear equations; Signal design; Tree graphs; Voltage; Writing;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1981.1084908
  • Filename
    1084908