Lyapunov-based Stability Analysis Automated by Genetic Programming

Created by W.Langdon from gp-bibliography.bib Revision:1.4448

  author =       "B. Grosman and D. R. Lewin",
  title =        "Lyapunov-based Stability Analysis Automated by Genetic
  booktitle =    "IEEE International Symposium on Computer-Aided Control
                 Systems Design, 2006",
  year =         "2006",
  pages =        "766--771",
  address =      "Munich, Germany",
  month =        "4-6 " # oct,
  publisher =    "IEEE",
  keywords =     "genetic algorithms, genetic programming",
  ISBN =         "0-7803-9797-5",
  DOI =          "doi:10.1109/CACSD.2006.285474",
  abstract =     "This contribution describes an automatic technique for
                 detecting maximal domains of attraction for nonlinear
                 systems using genetic programming (GP). The theoretical
                 basis for the work is Lyapunov's direct method, which
                 provides sufficient conditions for the existence of a
                 region of attraction of a stable focus. In work
                 presented here, our GP approach for defining Lyapunov
                 functions that accurately predict the maximum region of
                 attraction has been extended by defining a target
                 function accounting for level sets. We demonstrate the
                 approach on the analysis of two dynamic systems: (a)
                 van der Pol's equation, which features both a stable
                 and unstable limit cycle; and (b) a model of an
                 exothermic, continuous stirred tank reactor (CSTR),
                 whose stable trajectories tend to move away from the
                 origin before converging",
  notes =        "Dept. of Chem. Eng., Technion-Israel Inst. of
                 Technol., Haifa",

Genetic Programming entries for Benyamin Grosman Daniel R Lewin