An explicit Floquet-type representation of Riccati aperiodic exponential semigroups
| hal.structure.identifier | University of Technology Sydney [UTS] | |
| dc.contributor.author | BISHOP, Adrian | |
| hal.structure.identifier | Centre de Mathématiques Appliquées - Ecole Polytechnique [CMAP] | |
| hal.structure.identifier | Quality control and dynamic reliability [CQFD] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DEL MORAL, Pierre | |
| dc.date.accessioned | 2024-04-04T02:57:53Z | |
| dc.date.available | 2024-04-04T02:57:53Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 0020-7179 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192604 | |
| dc.description.abstractEn | The article presents a rather surprising Floquet-type representation of time-varying transition matri-ces associated with a class of nonlinear matrix differentialRiccati equations. The main difference withconventional Floquet theory comes from the fact that the underlying flow of the solution matrix is aperi-odic. The monodromy matrix associated with this Floquet representation coincides with the exponential(fundamental) matrix associated with the stabilizing fixedpoint of the Riccati equation. The second partof this article is dedicated to the application of this representation to the stability of matrix differentialRiccati equations. We provide refined global and local contraction inequalities for the Riccati exponentialsemigroup that depend linearly on the spectral norm of the initial condition. These refinements improveupon existing results and are a direct consequence of the Floquet-type representation, yielding whatseems to be the first results of this type for this class of models. | |
| dc.language.iso | en | |
| dc.publisher | Taylor & Francis | |
| dc.title.en | An explicit Floquet-type representation of Riccati aperiodic exponential semigroups | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1080/00207179.2019.1590647 | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| bordeaux.journal | International Journal of Control | |
| bordeaux.page | 1-9 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02429300 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02429300v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Journal%20of%20Control&rft.date=2019&rft.spage=1-9&rft.epage=1-9&rft.eissn=0020-7179&rft.issn=0020-7179&rft.au=BISHOP,%20Adrian&DEL%20MORAL,%20Pierre&rft.genre=article |
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