Výsledky vyhledávání - "Matteo Tacchi"

Exploiting Sparsity for Semi-Algebraic Set Volume Computation

Autor: Didier Henrion, Tillmann Weisser, Matteo Tacchi, Jean B. Lasserre

Publikováno v: Foundations of Computational Mathematics
Foundations of Computational Mathematics, 2021, 22, pp.161--209. ⟨10.1007/s10208-021-09508-w⟩
Foundations of Computational Mathematics, Springer Verlag, 2021, ⟨10.1007/s10208-021-09508-w⟩

International audience; 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 pattern. As in previous works (without sparsity),

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ddd80bbee92ee6ab9076c812dc84fbfd
https://hal.science/hal-02010175

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Moment-SOS hierarchy for large scale set approximation. Application to power systems transient stability analysis

Autor: Matteo Tacchi

Publikováno v: HAL
Automatic. INSA de Toulouse, 2021. English. ⟨NNT : 2021ISAT0028⟩

This thesis deals with approximating sets using Lasserre’s moment-SOS hierarchy. The motivation is the increasing need for efficient methods to approximate sets of secure operation conditions for electrical power grids. Indeed, recent and ongoing c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::56001599790743f44b45f6bf6db171d6
https://hal.laas.fr/tel-03296221v2

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Stokes, Gibbs and volume computation of semi-algebraic sets

Autor: Matteo Tacchi, Jean Bernard Lasserre, Didier Henrion

Publikováno v: Discrete and Computational Geometry
Discrete and Computational Geometry, 2023, 69 (1), pp.260-283. ⟨10.1007/s00454-022-00462-0⟩

We consider the problem of computing the Lebesgue volume of compact basic semi-algebraic sets. In full generality, it can be approximated as closely as desired by a converging hierarchy of upper bounds obtained by applying the Moment-SOS (sums of squ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::674b106c44bc78158cbe51064349e01c
https://hal.laas.fr/hal-02947268/document

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Model Based Transient Stability Assessment for Power Systems

Autor: Matteo Tacchi

Publikováno v: ECC

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0c1a476976375b9f4ff159d2199928d6
https://doi.org/10.23919/ecc51009.2020.9143652

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Approximating regions of attraction of a sparse polynomial differential system *

Autor: Jean B. Lasserre, Matteo Tacchi, Carmen Cardozo, Didier Henrion

Publikováno v: IFAC World Congress
IFAC World Congress, Jul 2020, virtual, Germany. pp.3266-3271, ⟨10.1016/j.ifacol.2020.12.1488⟩

International audience; 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 the region of attraction (ROA) of sparse polyno

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2108d3d79ad3c3ee2500249a4382f39
https://hal.laas.fr/hal-02367689

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Transient Stability Analysis of Power Systems via Occupation Measures

Autor: Somayeh Sojoudi, Matteo Tacchi, Daniel K. Molzahn, Cédric Josz

Publikováno v: IEEE Power & Energy Society Innovative Smart Grid Technologies Conference (ISGT 2019 )
IEEE Power & Energy Society Innovative Smart Grid Technologies Conference (ISGT 2019 ), Feb 2019, Washington, United States. ⟨10.1109/ISGT.2019.8791570⟩
ISGT

We propose the application of occupation measure theory to the classical problem of transient stability analysis for power systems. This enables the computation of certified inner and outer approximations for the region of attraction of a nominal ope

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31c8e1f30a866c0c3ff5d32e80345622
https://hal.archives-ouvertes.fr/hal-02125599/file/root.pdf

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Inner approximations of the maximal positively invariant set for polynomial dynamical systems

Autor: Antoine Oustry, Matteo Tacchi, Didier Henrion

Publikováno v: IEEE Control Systems Letters
IEEE Control Systems Letters, 2019
IEEE Control Systems Letters, IEEE, 2019

International audience; 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 continuous-time dynamical systems with polynomial vecto

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::578dab690febcf6f2acede4c6d1be50f

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