Ιδρυματικό Αποθετήριο
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| URI | http://purl.tuc.gr/dl/dias/732B793A-39DE-4326-B071-34FBD8635A3F | - |
| Αναγνωριστικό | https://doi.org/10.23919/ACC63710.2025.11108079 | - |
| Γλώσσα | en | - |
| Μέγεθος | 6 pages | en |
| Τίτλος | Stabilization of an unstable reaction-diffusion PDE with input delay despite state and input quantization | en |
| Δημιουργός | Koudohode Florent | en |
| Δημιουργός | Koudohode Florent | el |
| Δημιουργός | Bekiaris-Liberis Nikolaos | en |
| Δημιουργός | Μπεκιαρης-Λυμπερης Νικολαος | el |
| Εκδότης | Institute of Electrical and Electronics Engineers | en |
| Περιγραφή | 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. Neither the European Union nor the granting authority can be held responsible for them. | en |
| Περίληψη | We solve the global asymptotic stability problem of an unstable reaction-diffusion Partial Differential Equation (PDE) subject to input delay and state quantization developing a switched predictor-feedback law. To deal with the input delay, we reformulate the problem as an actuated transport PDE coupled with the original reaction-diffusion PDE. Then, we design a quantized predictor-based feedback mechanism that employs a dynamic switching strategy to adjust the quantization range and error over time. The stability of the closed-loop system is proven properly combining backstepping with a small-gain approach and input-to-state stability techniques, for deriving estimates on solutions, despite the quantization effect and the system’s instability. We also extend this result to the input quantization case. | en |
| Τύπος | Πλήρης Δημοσίευση σε Συνέδριο | el |
| Τύπος | Conference Full Paper | en |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
| Ημερομηνία | 2025-08-25 | - |
| Ημερομηνία Δημοσίευσης | 2025 | - |
| Θεματική Κατηγορία | Reaction-diffusion PDE | en |
| Θεματική Κατηγορία | Quantization | en |
| Θεματική Κατηγορία | Backstepping | en |
| Βιβλιογραφική Αναφορά | F. Koudohode and N. Bekiaris-Liberis, "Stabilization of an unstable reaction-diffusion PDE with input delay despite state and input quantization," 2025 American Control Conference (ACC), Denver, CO, USA, 2025. | en |
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