• DocumentCode
    926003
  • Title

    The inner formulation for the total square integral (SUM)

  • Author

    Jury, E.I. ; Gutman, S.

  • Volume
    61
  • Issue
    3
  • fYear
    1973
  • fDate
    3/1/1973 12:00:00 AM
  • Firstpage
    395
  • Lastpage
    397
  • Abstract
    In this letter the value of the complex integrals InΔ 1/2πj ∫-j∞j∞G(s)G(-s)ds and In=1/2πj ∮unit circleF(z)F(z-1)z-1dz which arise in obtaining the total square integral for the continuous case and the total square sum for discrete case are obtained in a unified approach based in the "Inners." In both cases it is shown that Inis obtained as the ratio of two Inner determinants. The denominator determinants are related to the stability conditions. The computational algorithm recently obtained for the Inners determinants can be readily used for the evaluation of In.
  • Keywords
    Algorithm design and analysis; Books; Continuous time systems; Equations; Feedback control; Filtering; Laboratories; Mechanical engineering; Stability; Stochastic systems;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1973.9046
  • Filename
    1450976
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=926003