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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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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Elsevier
2021
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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. |
format | Online Article Text |
id | pubmed-8374644 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Elsevier |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT raczynskistanislaw reachablesetsofdifferentialinclusionsnewdisolverparallelversioninterdisciplinaryapplications |