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SFB 1481 B06

Kinetische Theorie trifft algebraische Systemtheorie (B06)

CoordinatorProfessor Dr. Michael Herty ; Professorin Dr. Eva Zerz
Grant period2022 -
Funding bodyDeutsche Forschungsgemeinschaft
 DFG
IdentifierG:(GEPRIS)504292976

⇧ SFB 1481: Sparsity und singuläre Strukturen ⇧

Note: Wir untersuchen Familien von durch gewöhnliche Differentialgleichungen gegebenen Kontrollsystemen, die durch ihre Zustandsraumdimension N parametrisiert sind. Ziel ist die Betrachtung des kinetischen Grenzwerts, wenn N gegen unendlich strebt, in Hinblick auf die Übertragung struktureller Eigenschaften und invarianter Mannigfaltigkeiten auf die partielle Differentialgleichung im Limes. Wir behandeln den autonomen Fall und den geschlossenen Regelkreis. Die zulässigen Rückführungsgesetze werden nach Sparsity-Kriterien ausgewählt. Numerische und symbolische Software für solche Probleme wird verwendet und entwickelt.
   

Recent Publications

All known publications ...
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http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article  ;  ;  ;
Sparse control in microscopic and mean-field leader-follower models
AIMS mathematics 10(8), 19147-19172 () [10.3934/math.2025856]  GO DBCoverage BibTeX | EndNote: XML, Text | RIS

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Dissertation / PhD Thesis  ;  ;
Invariant zero sets for first and second order nonlinear ODE systems
Aachen : RWTH Aachen University 1 Online-Ressource () [10.18154/RWTH-2025-09487] = Dissertation, RWTH Aachen University, 2025  GO OpenAccess  Download fulltext Files BibTeX | EndNote: XML, Text | RIS

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article  ;  ;
Sparse reconstruction of multi-dimensional kinetic distributions
Kinetic and related models () [10.3934/krm.2025022]  GO BibTeX | EndNote: XML, Text | RIS

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article  ;
Exponential turnpike property for particle systems and mean-field limit
European journal of applied mathematics 36(5), 993-1011 () [10.1017/S0956792524000871]  GO DBCoverage BibTeX | EndNote: XML, Text | RIS

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article/Contribution to a book  ;  ;  ;
Recent kernel methods for interacting particle systems: first numerical results
European journal of applied mathematics 36(2), 464-489 () [10.1017/S0956792524000706] special issue: "From integro-differential models to data-oriented approaches for emergent phenomena / Seung-Yeal Ha; Qin Li; Andrea Tosin; Mattia Zanella"  GO BibTeX | EndNote: XML, Text | RIS

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article/Contribution to a conference proceedings  ;  ;
Controlled invariant varieties for second order polynomial control systems
26. International Symposium on Mathematical Theory of Networks and Systems, MTNS 2024, CambridgeCambridge, UK, 19 Aug 2024 - 23 Aug 20242024-08-192024-08-23 IFAC-PapersOnLine 58(17), 368-373 () [10.1016/j.ifacol.2024.10.197] special issue: "26th International Symposium on Mathematical Theory of Networks and Systems MTNS 2024 : Cambridge, United Kingdom, August 19-23, 2024 / edited by Rodolphe Sepulchre, Malcolm C. Smith"  GO OpenAccess  Download fulltext Files BibTeX | EndNote: XML, Text | RIS

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article  ;  ;  ;  ;
A Microscopic On-Ramp Model Based on Macroscopic Network Flows
Applied Sciences 14(19), 9111 () [10.3390/app14199111]  GO OpenAccess  Download fulltext Files BibTeX | EndNote: XML, Text | RIS

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article/Contribution to a book  ;  ;
A Central Scheme for Two Coupled Hyperbolic Systems
Communications on applied mathematics and computation 6(4), 2093-2118 () [10.1007/s42967-023-00306-5] special issue: "Focused Issue in Honor of Prof.Dr. Gerald Warnecke on His 65th Birthday"  GO OpenAccess  Download fulltext Files BibTeX | EndNote: XML, Text | RIS

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article/Contribution to a conference proceedings  ;  ;
Invariant sets for a class of nonlinear control systems tractable by symbolic computation
22. IFAC World Congress, IFAC 2023, YokohamaYokohama, Japan, 9 Jul 2023 - 14 Jul 20232023-07-092023-07-14 IFAC-PapersOnLine 56(2), 3899-3903 () [10.1016/j.ifacol.2023.10.1324] special issue: "22nd IFAC World Congress: Yokohama, Japan, July 9-14, 2023 / Edited by Hideaki Ishii, Yoshio Ebihara, Jun-ichi Imura, Masaki Yamakita"  GO OpenAccess  Download fulltext Files BibTeX | EndNote: XML, Text | RIS

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article/Contribution to a conference proceedings
Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
92. Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2022, AachenAachen, Germany, 15 Aug 2022 - 19 Aug 20222022-08-152022-08-19 Proceedings in applied mathematics and mechanics : PAMM 23(1), e202200150 () [10.1002/pamm.202200150] special issue: "Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) / Issue Edited by: Ch. Böhm, K. Mang, B. Markert, S. Reese, M. Schmidtchen, J. Waimann, M. Kaliske"  GO OpenAccess  Download fulltext Files BibTeX | EndNote: XML, Text | RIS

All known publications ...
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 Record created 2023-01-06, last modified 2023-01-24
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