• DocumentCode
    762382
  • Title

    Stability analysis of bilinear systems

  • Author

    Chen, L.K. ; Yang, X. ; Mohler, R.R.

  • Author_Institution
    Oregon State Univ., Corvallis, OR, USA
  • Volume
    36
  • Issue
    11
  • fYear
    1991
  • fDate
    11/1/1991 12:00:00 AM
  • Firstpage
    1310
  • Lastpage
    1315
  • Abstract
    The stability of the differential bilinear systems is studied. The authors consider time-varying bilinear systems with output feedback. The input or control u(t) is not only a signal but also an input with output feedback, i.e., u(t)=f(Y(t)). It is assumed that the feedback function f is in a function space which contains the class of linear functions, functions satisfying the Lipschitz condition, and quadratic functions
  • Keywords
    feedback; linear systems; nonlinear systems; stability; time-varying systems; Lipschitz condition; differential bilinear systems; output feedback; quadratic functions; stability; time-varying bilinear systems; Convergence; Differential equations; Dynamic programming; Heuristic algorithms; Jacobian matrices; Large-scale systems; Nonlinear systems; Optimal control; Optimization methods; Stability analysis;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.100945
  • Filename
    100945