• DocumentCode
    1271716
  • Title

    Generalized KYP Lemma With Real Data

  • Author

    Pipeleers, Goele ; Vandenberghe, Lieven

  • Author_Institution
    Dept. of Mech. Eng., Katholieke Univ. Leuven, Leuven, Belgium
  • Volume
    56
  • Issue
    12
  • fYear
    2011
  • Firstpage
    2942
  • Lastpage
    2946
  • Abstract
    A recent generalization of the Kalman-Yakubovich-Popov (KYP) lemma establishes the equivalence between a semi-infinite inequality on a segment of a line or circle in the complex plane and a linear matrix inequality (LMI). In this technical note we show that when the data are real, the matrix variables in the LMI can be restricted to be real, even when the frequency range is asymmetric with respect to the real axis.
  • Keywords
    linear matrix inequalities; Kalman-Yakubovich-Popov; LMI; complex plane; generalized KYP Lemma; line segment; linear matrix inequality; real data; semiinfinite inequality; Continuous time systems; Eigenvalues and eigenfunctions; Frequency domain analysis; Linear matrix inequalities; Symmetric matrices; Kalman–Yakubovich–Popov (KYP); linear matrix inequality (LMI);
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2011.2161945
  • Filename
    5953485
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1271716