• DocumentCode
    2464717
  • Title

    A Gain-Based Lower Bound Algorithm for Real and Mixed μ Problems

  • Author

    Seiler, Pete ; Balas, Gary ; Packard, Andrew

  • fYear
    2006
  • fDate
    13-15 Dec. 2006
  • Firstpage
    3548
  • Lastpage
    3553
  • Abstract
    In this paper we present a new lower bound algorithm for real and mixed μ problems. The basic idea of this algorithm is to use a related worst-case gain problem to compute the real blocks and, if the block structure is mixed, the standard power iteration to compute the complex blocks. Initial numerical tests indicate that the algorithm is fast and provides good bounds for both real and mixed μ problems of small to moderate size
  • Keywords
    linear systems; perturbation techniques; polynomials; block structure; complex blocks; gain-based lower bound algorithm; mixed mu problems; real μ problems; worst-case gain problem; Algorithm design and analysis; Convergence; Linear systems; Power engineering and energy; Power engineering computing; Robustness; System testing; USA Councils; Uncertainty; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2006 45th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • Print_ISBN
    1-4244-0171-2
  • Type

    conf

  • DOI
    10.1109/CDC.2006.377123
  • Filename
    4177075