• DocumentCode
    2275519
  • Title

    How stable is a fuzzy linear system?

  • Author

    Nguyen, Hung T. ; Kreinovich, Vladik

  • Author_Institution
    Dept. of Math. Sci., New Mexico State Univ., Las Cruces, NM, USA
  • fYear
    1994
  • fDate
    26-29 Jun 1994
  • Firstpage
    1023
  • Abstract
    One of the main problems to which control is applied is stabilizing a plant. In this case, it is sufficient to consider only small deviations from the ideal state. For small deviations, the dynamics of the plant can be described by linear differential equations. In many real-life cases, however, we do not know the exact values of the coefficients that describe the plant´s dynamics. In the present paper, we describe the relevant mathematical problem and the standard stability techniques of control theory, and present an algorithm that estimates the desired degree of belief. In other words, this algorithm describes how stable is a given fuzzy linear systems
  • Keywords
    dynamics; eigenvalues and eigenfunctions; fuzzy control; linear differential equations; linear systems; stability; stability criteria; degree of belief; eigenvalues; fuzzy control; fuzzy linear system; linear differential equations; plant´s dynamics; stability; Computer science; Control systems; Control theory; Differential equations; Fuzzy control; Fuzzy systems; Linear systems; Mathematics; Stability; Taylor series;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems, 1994. IEEE World Congress on Computational Intelligence., Proceedings of the Third IEEE Conference on
  • Conference_Location
    Orlando, FL
  • Print_ISBN
    0-7803-1896-X
  • Type

    conf

  • DOI
    10.1109/FUZZY.1994.343876
  • Filename
    343876