• DocumentCode
    1367991
  • Title

    Stabilizability conditions for strictly bilinear systems with purely imaginary spectra

  • Author

    Rahn, Christopher D.

  • Author_Institution
    Dept. of Mech. Eng., Clemson Univ., SC, USA
  • Volume
    41
  • Issue
    9
  • fYear
    1996
  • fDate
    9/1/1996 12:00:00 AM
  • Firstpage
    1346
  • Lastpage
    1347
  • Abstract
    This paper presents simple sufficient conditions for the stabilizability of single-input, strictly bilinear systems with purely imaginary spectra. If the state matrix eigenvalues are distinct and a matrix function of the bilinear input and eigenvector matrices has nonzero diagonal elements, then the system is globally, asymptotically stabilizable
  • Keywords
    asymptotic stability; bilinear systems; eigenvalues and eigenfunctions; globally asymptotically stabilizable system; matrix function; purely imaginary spectra; single-input strictly bilinear systems; stabilizability conditions; state matrix eigenvalues; sufficient conditions; Automatic control; Control systems; Controllability; Equations; Mathematics; Nonlinear control systems; Nonlinear systems; Optimal control; Process control; Transmission line matrix methods;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.536507
  • Filename
    536507
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1367991