• DocumentCode
    1215017
  • Title

    Analysis of bilinear systems using Walsh functions

  • Author

    Lewis, F.L. ; Mertzios, V.G. ; Vachtsevanos, G. ; Christodoulou, M.A.

  • Author_Institution
    Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
  • Volume
    35
  • Issue
    1
  • fYear
    1990
  • fDate
    1/1/1990 12:00:00 AM
  • Firstpage
    119
  • Lastpage
    123
  • Abstract
    By using Walsh functions to analyze bilinear systems, it is shown that the nonlinear differential system equation can be converted to a linear algebraic generalized Lyapunov equation that can be solved for the coefficients of the state x(t) in terms of the Walsh basis functions. This Lyapunov equation provides an approximate closed-form solution for a bilinear system. Some guidelines are given for selecting the number of terms in the Walsh approximating series
  • Keywords
    Walsh functions; control system analysis; linear algebra; linear systems; nonlinear differential equations; nonlinear systems; Walsh approximating series; Walsh functions; approximate closed-form solution; bilinear systems; control system analysis; linear algebraic generalized Lyapunov equation; nonlinear differential system equation; H infinity control; Influenza; Nonlinear systems; Open loop systems; Output feedback; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.45160
  • Filename
    45160
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1215017