• DocumentCode
    1184870
  • Title

    Jump behavior of circuits and systems

  • Author

    Sastry, S. Shankar ; Desoer, Charles A.

  • Volume
    28
  • Issue
    12
  • fYear
    1981
  • fDate
    12/1/1981 12:00:00 AM
  • Firstpage
    1109
  • Lastpage
    1124
  • Abstract
    Some circuits exhibit jump behavior. for example, this occurs when the velocity field specified by the \\dot{i}_L and \\dot{\\upsilon }_c of the inductor and capacitor characteristics cannot be "lifted" on to the resistive constraint manifold. The (jump) behavior is viewed as the limit as \\epsilon \\rightarrow 0 of the solutions of a regularized system of equations obtained by introducing suitably located \\epsilon -parasitic L \´s and C \´s: this leads to a consistent way of defining discontinuous solutions. In particular, the behavior near a fold and cusp is examined. The concept of physically measurable operating point is defined and is related to that of strict local dissipativeness (which generalizes that of strict local passivity). Two examples are included.
  • Keywords
    General analysis and synthesis methods; Network theory; Capacitors; Circuits and systems; Constraint theory; Equations; Inductors; Laboratories; Parasitic capacitance; Transient response; Voltage;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1981.1084943
  • Filename
    1084943