• DocumentCode
    807808
  • Title

    Sensitivity of stable linear systems

  • Author

    Shane, Barbara A. ; Barnett, S.

  • Author_Institution
    University of Bradford, Bradford, Yorkshire, England
  • Volume
    17
  • Issue
    1
  • fYear
    1972
  • fDate
    2/1/1972 12:00:00 AM
  • Firstpage
    148
  • Lastpage
    150
  • Abstract
    It is shown that the coefficients in the characteristic equation of a constant linear system can be altered by finite amounts without making the system unstable. The perturbations depend on a single parameter and are straightforward to calculate. Bounds are given for the real parts of the roots of the perturbed polynomial.
  • Keywords
    Polynomials; Sensitivity analysis; Stability; Councils; Differential equations; Linear systems; Lyapunov method; Polynomials; Stability; Sufficient conditions; Symmetric matrices; Writing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1972.1099893
  • Filename
    1099893