• DocumentCode
    2005542
  • Title

    Does star norm capture l1 norm?

  • Author

    Venkatesh, S.R. ; Dahleh, M.A.

  • Author_Institution
    Lab. for Inf. & Decision Syst., MIT, Cambridge, MA, USA
  • Volume
    1
  • fYear
    1995
  • fDate
    21-23 Jun 1995
  • Firstpage
    944
  • Abstract
    This paper pertains to the results obtained in Nagpal et al. (1994) where the authors present a norm, which they call the “*-norm”, and conclude that minimizing the star norm results in good peak to peak disturbance rejection. The problem they treat reduces to solving a set of parameter dependent LMIs for standard synthesis problems in control and estimation. In this paper, the authors show using examples that minimizing the star norm does not necessarily imply good peak to peak disturbance rejection
  • Keywords
    filtering theory; matrix algebra; minimisation; stability; *-norm; l1 norm; peak to peak disturbance rejection; star norm; Control systems; Ellipsoids; Equations; Filtering; Filters; Laboratories; Observability; Symmetric matrices; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, Proceedings of the 1995
  • Conference_Location
    Seattle, WA
  • Print_ISBN
    0-7803-2445-5
  • Type

    conf

  • DOI
    10.1109/ACC.1995.529387
  • Filename
    529387
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2005542