Some aspects of infinite-dimensional Geometry: Theory and Applications

Autor: Tumpach, Alice Barbara

Publikováno v: Mathematics [math]. Lille University, 2022

We present some recent developments of infinite-dimensional Geometry, and show some applications in Shape Analysis. The first chapter is an introduction to the universal Teichmüller space and to its connexion to infinite-dimensional coadjoint orbits

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______4254::5ab156ca3ad03a7ccd2d46ce74c17f34
https://hal.science/tel-04052429

Contributions à l'approche par programmation linéaire pour les jeux à champ moyen et applications aux marchés de l'électricité

Autor: Leutscher de las Nieves, Marcos

This thesis presents three main contributions related to the linear programming approach for mean field games (MFGs).The first part of the thesis is concerned with the theoretical aspects of MFGs allowing simultaneously for optimal stopping, stochast

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______166::d1aefc2a96bd9d51352da10f4a57dae8
https://theses.hal.science/tel-03921273

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

High-gain observer design for systems of PDEs

Autor: Kitsos, Constantinos

Publikováno v: Automatic Control Engineering. Université Grenoble Alpes [2020-..], 2020. English. ⟨NNT : 2020GRALT031⟩

This thesis introduces some non-trivial extensions of the classical high-gain observer design for finite-dimensional nonlinear systems to some classes of infinite-dimensional systems, written as triangular systems of coupled partial differential equa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::32cbb9adbe9c468a0a0823bbf96d50a6
https://tel.archives-ouvertes.fr/tel-03097631/document

Conception d’observateurs par intervalle pour les systèmes à paramètres distribués avec incertitudes

Autor: Kharkovskaia, Tatiana

Publikováno v: Automatic. Ecole Centrale Lille, 2019. English. ⟨NNT : ⟩
Other. Ecole Centrale de Lille; ITMO University, 2019. English. ⟨NNT : 2019ECLI0019⟩
Automatic. Ecole Centrale Lille, 2019. English

This work presents new results on interval state estimation for uncertain distributed systems, the state of which has an infinite dimension and is described by partial (PDEs) or (FDEs) functional differential equations. An interval observer evaluates

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::2ea90af5c2cf6ff3d236d755f4ff46ad
https://theses.hal.science/tel-02425063/document