• DocumentCode
    2750552
  • Title

    A unified spectral theory for linear time-varying systems-progress and challenges

  • Author

    Zhu, J. Jim

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
  • Volume
    3
  • fYear
    1995
  • fDate
    13-15 Dec 1995
  • Firstpage
    2540
  • Abstract
    This paper presents a survey on the progress and challenges in the development of a unified spectral theory for the class of scalar linear time-varying systems, based on a classical result by Floquet (1879) on differential operator factorization. This unified theory is a natural extension of the conventional eigenvalue-eigenvector theory for linear time-invariant systems. Applications of the new theory are exemplified with the design of a time-varying bandwidth filter which has been used in a missile autopilot
  • Keywords
    eigenvalues and eigenfunctions; spectral analysis; time-varying systems; differential operator factorization; eigenvalue-eigenvector theory; missile autopilot; scalar linear time-varying systems; time-varying bandwidth filter; unified spectral theory; Bandwidth; Communication system control; Control systems; Eigenvalues and eigenfunctions; Missiles; Nonlinear equations; Polynomials; Riccati equations; Stability criteria; Time varying systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-2685-7
  • Type

    conf

  • DOI
    10.1109/CDC.1995.478474
  • Filename
    478474