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Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/7A65698B-1677-4F74-89FE-194EE96B8586 | - |
| Identifier | https://doi.org/10.23919/ECC65951.2025.11187157 | - |
| Language | en | - |
| Extent | 8 pages | en |
| Title | Backstepping control of a class of continua of linear hyperbolic PDEs | en |
| Creator | Humaloja Jukka-Pekka Gabriel | en |
| Creator | Humaloja Jukka-Pekka-Gabriel | el |
| Creator | Bekiaris-Liberis Nikolaos | en |
| Creator | Μπεκιαρης-Λυμπερης Νικολαος | el |
| Publisher | Institute of Electrical and Electronics Engineers | en |
| Description | Funded by the European Union (ERC, C-NORA, 101088147). Views and opinions expressed are however those of the authors only and do not necessarily reflect those of the European Union or the European Research Council Executive Agency. Neither the European Union nor the granting authority can be held responsible for them. | en |
| Content Summary | We develop a backstepping control design for a class of continuum systems of linear hyperbolic PDEs, described by a coupled system of an ensemble of rightward transporting PDEs and a (finite) system of m leftward transporting PDEs. The key analysis challenge of the design is to establish wellposedness of the resulting ensemble of kernel equations, since they evolve on a prismatic (3-D) domain and inherit the potential discontinuities of the kernels for the case of n+m hyperbolic systems. We resolve this challenge generalizing the well-posedness analysis of Hu, Di Meglio, Vazquez, and Krstic to continua of general, heterodirectional hyperbolic PDE systems, while also constructing a proper Lyapunov functional. | en |
| Type of Item | Πλήρης Δημοσίευση σε Συνέδριο | el |
| Type of Item | Conference Full Paper | en |
| License | http://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
| Date of Item | 2025-10-20 | - |
| Date of Publication | 2025 | - |
| Subject | Backstepping | en |
| Subject | Hyperbolic PDEs | en |
| Subject | PDE continua | en |
| Bibliographic Citation | J.-P. Humaloja and N. Bekiaris-Liberis, "Backstepping control of a class of continua of linear hyperbolic PDEs," European Control Conference, 2025. | en |
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