moment-sum-of-square relaxations

Semidenite Approximations of Invariant Measures for Polynomial Systems

  • Marcelo Forets
  • Didier Henrion
  • Victor Magron
    • Categories Semi-definite Programming, Systems governed by Differential Equations Optimization Tags , , , ,

    We consider the problem of approximating numerically the moments and the supports of measures which are invariant with respect to the dynamics of continuousand discrete-time polynomial systems, under semialgebraic set constraints. First, we address the problem of approximating the density and hence the support of an invariant measure which is absolutely continuous with respect to … Read more