• DocumentCode
    2335011
  • Title

    On three dimensional point dissipative systems of differential equations with quadratic nonlinearity

  • Author

    Bose, Anil K. ; Cover, Alan S. ; Reneke, James A.

  • Author_Institution
    Dept. of Math. Sci., Clemson Univ., SC, USA
  • fYear
    1990
  • fDate
    11-13 Mar 1990
  • Firstpage
    477
  • Lastpage
    481
  • Abstract
    Sufficient conditions are developed for three-dimensional quadratic systems with conservative nonlinearities to be point dissipative. The conditions are motivated geometrically. Lorenz systems are shown to fall within the class of systems studied
  • Keywords
    differential equations; matrix algebra; multidimensional systems; Lorenz systems; conservative nonlinearities; differential equations; matrix algebra; multidimensional systems; quadratic nonlinearity; quadratic systems; three dimensional point dissipative systems; Differential equations; Eigenvalues and eigenfunctions; Geometry; H infinity control; Lyapunov method; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    System Theory, 1990., Twenty-Second Southeastern Symposium on
  • Conference_Location
    Cookeville, TN
  • ISSN
    0094-2898
  • Print_ISBN
    0-8186-2038-2
  • Type

    conf

  • DOI
    10.1109/SSST.1990.138193
  • Filename
    138193