• DocumentCode
    818052
  • Title

    Solution and stability of the damped Mathieu equation by the Wentzel-Kramers-Brillouin approach

  • Author

    Tan, Sevim

  • Author_Institution
    Middle East Technical University, Ankara, Turkey
  • Volume
    20
  • Issue
    2
  • fYear
    1975
  • fDate
    4/1/1975 12:00:00 AM
  • Firstpage
    287
  • Lastpage
    289
  • Abstract
    An approximate solution for a linear, second-order, time-varying differential equation, which specializes to the damped Mathieu equation, is derived by using the Wentzel-Kramers-Brillouin approach. The conditions for the approximate solution to be valid are used as a stability criterion. The damped Mathieu equation is considered as a special case.
  • Keywords
    Differential equations; Linear systems, time-varying continuous-time; Stability; Circuit stability; Damping; Differential equations; Kinetic theory; Linear matrix inequalities; Lyapunov method; Nonlinear control systems; Nonlinear equations; Stability criteria; Stochastic systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1975.1100897
  • Filename
    1100897
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=818052