• DocumentCode
    185289
  • Title

    Eigenvalues for a nonlinear time-delay system

  • Author

    Halas, Miroslav

  • Author_Institution
    Inst. of Robot. & Cybern., Slovak Univ. of Technol., Bratislava, Slovakia
  • fYear
    2014
  • fDate
    17-19 Oct. 2014
  • Firstpage
    291
  • Lastpage
    296
  • Abstract
    The paper introduces the notion of an eigenvalue of a nonlinear time-delay system. It is shown that the respective object, playing the role of an eigenvalue, is a specific non-commutative polynomial, as it is invariant under a change of coordinates. The basic properties and possible applications of such a formalism are then discussed. Namely, the transformation of a nonlinear time-delay system into the diagonal form.
  • Keywords
    delays; eigenvalues and eigenfunctions; nonlinear systems; eigenvalues; noncommutative polynomial; nonlinear time-delay system; Delays; Educational institutions; Eigenvalues and eigenfunctions; Linear systems; Nonlinear systems; Polynomials; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    System Theory, Control and Computing (ICSTCC), 2014 18th International Conference
  • Conference_Location
    Sinaia
  • Type

    conf

  • DOI
    10.1109/ICSTCC.2014.6982431
  • Filename
    6982431