• DocumentCode
    806226
  • Title

    Time symmetry and periodic solutions of the state equations

  • Author

    Mulholland, R.

  • Author_Institution
    Oklahoma State University, Stillwater, OK, USA
  • Volume
    16
  • Issue
    4
  • fYear
    1971
  • fDate
    8/1/1971 12:00:00 AM
  • Firstpage
    367
  • Lastpage
    368
  • Abstract
    The constraint of time symmetry applied to the linear state equations is used to investigate periodic solutions. Specifically, it is shown that the state is an even function of time if and only if the system has odd time symmetry. Furthermore, if the system is T -periodic, then so is the state.
  • Keywords
    Linear systems, time-varying continuous-time; Control systems; Feedback; Frequency; Linearity; Lyapunov method; Nonlinear equations; Stability; Time factors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1971.1099739
  • Filename
    1099739
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=806226