• DocumentCode
    3085448
  • Title

    Inequalities between L-2 and L-infinity norms of strictly proper stable transfer functions

  • Author

    Narasimhamurthi, N.

  • Author_Institution
    University of Michigan, Ann Arbor, Michigan
  • Volume
    26
  • fYear
    1987
  • fDate
    9-11 Dec. 1987
  • Firstpage
    925
  • Lastpage
    926
  • Abstract
    In this paper we shall derive two inequalities between the L2 and L?? norms of stable transfer functions defined by H(s) = C(sI - A)-1B and show that ||H||F ?? ??2Tr(-A)||H||?? and for a single input or single output transfer function ||H||2 ?? 1.172(d1 2 + 2d2)1/4 ||H||?? where det(sI - A) = sn + d1sn-1 + d2sn-2 + ...
  • Keywords
    Computer science; Controllability; Differential equations; Eigenvalues and eigenfunctions; Observability; Polynomials; Transfer functions; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1987. 26th IEEE Conference on
  • Conference_Location
    Los Angeles, California, USA
  • Type

    conf

  • DOI
    10.1109/CDC.1987.272528
  • Filename
    4049405
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3085448