• DocumentCode
    1198331
  • Title

    On L2-sensitivity minimization of linear state-space systems

  • Author

    Yan, Wei-Yong ; Moore, John B.

  • Author_Institution
    Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia
  • Volume
    39
  • Issue
    8
  • fYear
    1992
  • fDate
    8/1/1992 12:00:00 AM
  • Firstpage
    641
  • Lastpage
    648
  • Abstract
    Properties of the solution to the L2-sensitivity minimization problem are discussed. In particular, a specific form of the solution is derived together with a bound. This bound gives an insight into the difference between a pure L2-sensitivity optimal realization and a mixed L 2/L1-sensitivity optimal one. The question of L2-sensitivity balanced truncation is addressed, and a counterexample is presented to show that two main properties associated with model reduction by truncating a Lyapunov balanced realization are lost in the case of L2-sensitivity balanced truncation
  • Keywords
    linear systems; minimisation; sensitivity analysis; state-space methods; L2-sensitivity balanced truncation; L2-sensitivity minimization problem; Lyapunov balanced realization; linear state-space systems; model reduction; optimal realization; Controllability; Cost function; Difference equations; Differential equations; Iterative algorithms; Observability; Sufficient conditions; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.168916
  • Filename
    168916
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1198331