@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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    dct:description """
              This thesis details a global method for optimal control of open-loop systems. This is done by relaxing the control problem as a generalized moment problem, which can be solved numerically by a hierarchy of semi-definite relaxations. The approach is first applied to the impulsive control of linear time varying systems, by modeling the controls by a measure. The resulting semi-definite conditions circumvent time discretiziation and related difficulties. By the use of occupation measures, the method is then extended to a class of impulsive non-linear problems. This results in a monotone sequence of lower bounds to the original control problem. Finally, those results are transposed to switched system, by modeling each mode by a corresponding occupation measure. This allows for large computational gains with respect to the classical approach, where the control space is measured.
            """ ;
    dct:identifier "tel-00876609" ;
    dct:issued "2026-05-09T06:20:05.609593"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-09T06:20:05.609599"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Occupation measures and semidefinite relaxations for optimal control" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00876609v1/resource/a983cf73-503c-4da1-860f-c92197131ba9> ;
    dcat:keyword "approche-par-les-moments",
        "commande-impulsionelle",
        "commande-optimale",
        "impulsive-control",
        "infoeu-reposemanticsdoctoralthesis",
        "lasserre-relaxations",
        "mathmath-ocmathematics-mathoptimization-and-control-mathoc",
        "mesures-doccupation",
        "moment-optimization",
        "occupation-measures",
        "optimal-control",
        "polynomial-systems",
        "programmation-semidefinie",
        "relaxations-de-lasserre",
        "semi-definite-programming",
        "spiautoengineering-sciences-physicsautomatic",
        "switched-systems",
        "systemes-a-commutation",
        "systemes-polynomiaux",
        "theses" ;
    dcat:landingPage <https://theses.hal.science/tel-00876609> .

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    dct:format "HTML" ;
    dct:issued "2026-05-09T06:20:05.617184"^^xsd:dateTime ;
    dct:modified "2026-05-09T06:20:05.587690"^^xsd:dateTime ;
    dct:title "Occupation measures and semidefinite relaxations for optimal control" ;
    dcat:accessURL <https://theses.hal.science/tel-00876609> .

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<https://theses.hal.science/tel-00876609> a foaf:Document .