• DocumentCode
    489402
  • Title

    Estimating Quadratic Stability Domains by Nonsmooth Optimization

  • Author

    Hauser, John ; Lai, Michael C.

  • Author_Institution
    Fred O´´Green Assistant Professor of Engineering, Dept of Electrical Engineering - Systems, University of Southern California, Los Angeles, CA 90089-2563
  • fYear
    1992
  • fDate
    24-26 June 1992
  • Firstpage
    571
  • Lastpage
    576
  • Abstract
    In this paper, we present a nonsmooth algorithm for computing quadratic (i.e., ellipsoidal) estimates of the domain of attraction for exponentially stable nonlinear systems. Our algorithm generates a sequence of ellipsoidal estimates, each of which has the maximum volume for the current shape and orientation. The effectiveness of our approach is demonstrated using a simple example.
  • Keywords
    Constraint optimization; Convergence; Differential equations; Lyapunov method; Nonlinear systems; Optimization methods; Partial differential equations; Shape; Stability analysis; System performance;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1992
  • Conference_Location
    Chicago, IL, USA
  • Print_ISBN
    0-7803-0210-9
  • Type

    conf

  • Filename
    4792131