@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#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00681920v1> a dcat:Dataset ;
    dct:description """
              We analyse an optimal control with the following features: the dynamical system is linear, and the dependence upon the control parameter is affine. More precisely we consider $\\dot x_\\alpha(t) = (G + \\alpha(t) F)x_\\alpha(t)$, where $G$ and $F$ are $3\\times 3$ matrices with some prescribed structure. In the case of constant control $\\alpha(t)\\equiv \\alpha$, we show the existence of an optimal Perron eigenvalue with respect to varying $\\alpha$ under some assumptions. Next we investigate the Floquet eigenvalue problem associated to time-periodic controls $\\alpha(t)$. Finally we prove the existence of an eigenvalue (in the generalized sense) for the optimal control problem. The proof is based on the results by [Arisawa 1998, Ann. Institut Henri Poincaré] concerning the ergodic problem for Hamilton-Jacobi equations. We discuss the relations between the three eigenvalues. Surprisingly enough, the three eigenvalues appear to be numerically the same.
            """ ;
    dct:identifier "hal-00681920" ;
    dct:issued "2026-05-23T17:11:57.817146"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-23T17:11:57.817151"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Optimal growth for linear processes with affine control" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00681920v1/resource/b5e68968-b439-464d-bbb3-d39db2f27494> ;
    dcat:keyword "ergodic-problem",
        "hamilton-jacobi-equation",
        "infinite-horizon",
        "infoeu-reposemanticspreprint",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "mathmath-dsmathematics-mathdynamical-systems-mathds",
        "mathmath-ocmathematics-mathoptimization-and-control-mathoc",
        "non-coercive-hamiltonian",
        "optimal-control",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00681920> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00681920v1/resource/b5e68968-b439-464d-bbb3-d39db2f27494> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-23T17:11:57.841778"^^xsd:dateTime ;
    dct:modified "2026-05-23T17:11:57.789244"^^xsd:dateTime ;
    dct:title "Optimal growth for linear processes with affine control" ;
    dcat:accessURL <https://hal.science/hal-00681920> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://hal.science/hal-00681920> a foaf:Document .