22 citations · 38 across the 12 of their papers we have counts for
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math.OC2019★ 1 cited
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…
math.OC2019
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…