22 citations · 38 across the 12 of their papers we have counts for
3 papers · 1 filter
Approximating regions of attraction of a sparse polynomial differential system *
Didier Henrion, Matteo Tacchi, Carmen Cardozo +1
Motivated by stability analysis of large scale power systems, we describe how the Lasserre (moment-sums of squares, SOS) hierarchy can be used to generate outer approximations of t…
Inner approximations of the maximal positively invariant set for polynomial dynamical systems
Antoine Oustry, Matteo Tacchi, Didier Henrion
The Lasserre or moment-sum-of-square hierarchy of linear matrix inequality relaxations is used to compute inner approximations of the maximal positively invariant set for continuou…
Exploiting Sparsity for Semi-Algebraic Set Volume Computation
Matteo Tacchi, Tillmann Weisser, Jean-Bernard Lasserre +1
We provide a systematic deterministic numerical scheme to approximate the volume (i.e. the Lebesgue measure) of a basic semi-algebraic set whose description follows a sparsity patt…