• DocumentCode
    2212031
  • Title

    A new barrier function for IQC optimization problems

  • Author

    Kao, C.-Y. ; Megretski, A.

  • Author_Institution
    Dept. of Autom. Control, Lund Inst. of Technol., Sweden
  • Volume
    5
  • fYear
    2003
  • fDate
    4-6 June 2003
  • Firstpage
    4281
  • Abstract
    In this paper, we propose a new barrier function for optimization problems with integral quadratic constraints (IQC). The new barrier function is used to construct an interior point algorithm, which solves IQC optimization problems in a more efficient fashion. Numerical tests as well as worst-case computational complexity analysis are performed to evaluate the efficiency of the proposed algorithm.
  • Keywords
    Hessian matrices; Lyapunov methods; computational complexity; gradient methods; numerical analysis; optimisation; Lyapunov equation; barrier function; integral quadratic constraint; interior path-following algorithm; interior point algorithm; numerical test; optimization problem; worst-case computational complexity analysis; Algorithm design and analysis; Frequency; Linear matrix inequalities; Optimization methods; Performance analysis; Performance evaluation; Robust stability; State-space methods; Symmetric matrices; System testing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2003. Proceedings of the 2003
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-7896-2
  • Type

    conf

  • DOI
    10.1109/ACC.2003.1240509
  • Filename
    1240509