• DocumentCode
    1384187
  • Title

    A necessary and sufficient condition for the stability of nonnegative interval discrete systems

  • Author

    Shafai, B. ; Perev, K. ; Cowley, D. ; Chehab, Y.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA
  • Volume
    36
  • Issue
    6
  • fYear
    1991
  • fDate
    6/1/1991 12:00:00 AM
  • Firstpage
    742
  • Lastpage
    746
  • Abstract
    The stability of nonnegative discrete systems with interval uncertainty is discussed. For this class of system a necessary and sufficient condition for the stability is provided when all elements of the system matrix are assumed to be specified by intervals. An illustrative example is used as a guideline to demonstrate the effectiveness of the result. Simple computational tests are suggested, and their usefulness in this framework is discussed. The possible extension of this result to more general classes of systems is addressed
  • Keywords
    discrete systems; matrix algebra; stability; interval uncertainty; necessary conditions; nonnegative interval discrete systems; stability; sufficient condition; system matrix; Adaptive control; Automatic control; Equations; Guidelines; Polynomials; Robust stability; Sampling methods; Stability criteria; Sufficient conditions; Testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.86948
  • Filename
    86948