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Reachable sets of differential inclusions: New DI solver, parallel version, interdisciplinary applications

The new version of the differential inclusion solver is presented. The solver calculates the reachable sets of differential inclusions. The new features are discussed, compared to the original version published in 2002. A short overview of differential inclusions and their relation to control system...

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Detalles Bibliográficos
Autor principal: Raczynski, Stanislaw
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8374644/
https://www.ncbi.nlm.nih.gov/pubmed/34430328
http://dx.doi.org/10.1016/j.mex.2021.101439
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author Raczynski, Stanislaw
author_facet Raczynski, Stanislaw
author_sort Raczynski, Stanislaw
collection PubMed
description The new version of the differential inclusion solver is presented. The solver calculates the reachable sets of differential inclusions. The new features are discussed, compared to the original version published in 2002. A short overview of differential inclusions and their relation to control systems is given. The new, parallel algorithm of the solver is presented. The concept of functional sensitivity is discussed, and the applications of the differential inclusion solver are discussed. • The new, parallel version of the algorithm for reachable set calculation is described. • Uncertainty treatment by differential inclusions is discussed. • A new concept of functional sensitivity is proposed.
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spelling pubmed-83746442021-08-23 Reachable sets of differential inclusions: New DI solver, parallel version, interdisciplinary applications Raczynski, Stanislaw MethodsX Method Article The new version of the differential inclusion solver is presented. The solver calculates the reachable sets of differential inclusions. The new features are discussed, compared to the original version published in 2002. A short overview of differential inclusions and their relation to control systems is given. The new, parallel algorithm of the solver is presented. The concept of functional sensitivity is discussed, and the applications of the differential inclusion solver are discussed. • The new, parallel version of the algorithm for reachable set calculation is described. • Uncertainty treatment by differential inclusions is discussed. • A new concept of functional sensitivity is proposed. Elsevier 2021-07-02 /pmc/articles/PMC8374644/ /pubmed/34430328 http://dx.doi.org/10.1016/j.mex.2021.101439 Text en © 2021 The Author. Published by Elsevier B.V. https://creativecommons.org/licenses/by/4.0/This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Method Article
Raczynski, Stanislaw
Reachable sets of differential inclusions: New DI solver, parallel version, interdisciplinary applications
title Reachable sets of differential inclusions: New DI solver, parallel version, interdisciplinary applications
title_full Reachable sets of differential inclusions: New DI solver, parallel version, interdisciplinary applications
title_fullStr Reachable sets of differential inclusions: New DI solver, parallel version, interdisciplinary applications
title_full_unstemmed Reachable sets of differential inclusions: New DI solver, parallel version, interdisciplinary applications
title_short Reachable sets of differential inclusions: New DI solver, parallel version, interdisciplinary applications
title_sort reachable sets of differential inclusions: new di solver, parallel version, interdisciplinary applications
topic Method Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8374644/
https://www.ncbi.nlm.nih.gov/pubmed/34430328
http://dx.doi.org/10.1016/j.mex.2021.101439
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