Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
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| URI: | http://purl.tuc.gr/dl/dias/7A65698B-1677-4F74-89FE-194EE96B8586 | ||
| Έτος | 2025 | ||
| Τύπος | Πλήρης Δημοσίευση σε Συνέδριο | ||
| Άδεια Χρήσης |
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| Βιβλιογραφική Αναφορά | J.-P. Humaloja and N. Bekiaris-Liberis, "Backstepping control of a class of continua of linear hyperbolic PDEs," European Control Conference, 2025. https://doi.org/10.23919/ECC65951.2025.11187157 | ||
| Εμφανίζεται στις Συλλογές |
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+mhyperbolic 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.
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