• DocumentCode
    1272648
  • Title

    Dynamic system for solving complex eigenvalue problems

  • Author

    Zhang, Q. ; Leung, Y.W.

  • Author_Institution
    Dept. of Comput., Changsha Inst. of Technol., China
  • Volume
    144
  • Issue
    5
  • fYear
    1997
  • fDate
    9/1/1997 12:00:00 AM
  • Firstpage
    455
  • Lastpage
    458
  • Abstract
    In the paper, the authors propose a dynamic system for solving complex eigenvalue problems. We show that, under some mild conditions, the set of the unit eigenvectors corresponding to the eigenvalue with the largest real part is asymptotically stable and the set of the unit eigenvectors corresponding to the other eigenvalues is unstable. The proposed dynamical system can be realised as an analogue neural network for real-time applications
  • Keywords
    asymptotic stability; eigenvalues and eigenfunctions; matrix algebra; neural nets; polynomials; analogue neural network; complex eigenvalue problems; dynamic system; dynamical system; mild conditions; unit eigenvectors;
  • fLanguage
    English
  • Journal_Title
    Control Theory and Applications, IEE Proceedings -
  • Publisher
    iet
  • ISSN
    1350-2379
  • Type

    jour

  • DOI
    10.1049/ip-cta:19971123
  • Filename
    628637