Lyapunov-based stability analysis automated by genetic programming

Created by W.Langdon from gp-bibliography.bib Revision:1.4504

  author =       "Benyamin Grosman and Daniel R. Lewin",
  title =        "Lyapunov-based stability analysis automated by genetic
  journal =      "Automatica",
  volume =       "45",
  number =       "1",
  pages =        "252--256",
  year =         "2009",
  ISSN =         "0005-1098",
  DOI =          "DOI:10.1016/j.automatica.2008.07.014",
  URL =          "",
  keywords =     "genetic algorithms, genetic programming, Lyapunov
  abstract =     "This contribution describes an automatic technique to
                 detect suitable Lyapunov functions for nonlinear
                 systems. The theoretical basis for the work is
                 Lyapunov's Direct Method, which provides sufficient
                 conditions for stability of equilibrium points. In our
                 proposed approach, genetic programming (GP) is used to
                 search for suitable Lyapunov functions, that is, those
                 that best predict the true domain of attraction. In the
                 work presented here, our GP approach has been extended
                 by defining a target function accounting for the
                 Lyapunov function level sets.",

Genetic Programming entries for Benyamin Grosman Daniel R Lewin