Operator-valued Kernels and Control of Infinite dimensional Dynamic Systems
Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Title of host publication | 2022 IEEE 61st Conference on Decision and Control (CDC) |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. |
| Pages | 1039-1044 |
| ISBN (electronic) | 9781665467612, 978-1-6654-6760-5 |
| ISBN (print) | 978-1-6654-6762-9 |
| Publication status | Published - Dec 2022 |
Publication series
| Name | Proceedings of the IEEE Conference on Decision and Control |
|---|---|
| ISSN (Print) | 0743-1546 |
| ISSN (electronic) | 2576-2370 |
Conference
| Title | 61st IEEE Conference on Decision and Control (CDC 2022) |
|---|---|
| Place | Mexico |
| City | Cancún |
| Period | 6 - 9 December 2022 |
Link(s)
Abstract
The Linear Quadratic Regulator (LQR), which is arguably the most classical problem in control theory, was recently related to kernel methods in [1] for finite dimensional systems. We show that this result extends to infinite dimensional systems, i.e. control of linear partial differential equations. The quadratic objective paired with the linear dynamics encode the relevant kernel, defining a Hilbert space of controlled trajectories, for which we obtain a concise formula based on the solution of the differential Riccati equation. This paves the way to applying representer theorems from kernel methods to solve infinite dimensional optimal control problems. © 2022 IEEE.
Citation Format(s)
Operator-valued Kernels and Control of Infinite dimensional Dynamic Systems. / Aubin-Frankowski, Pierre-Cyril; Bensoussan, Alain.
2022 IEEE 61st Conference on Decision and Control (CDC). Institute of Electrical and Electronics Engineers, Inc., 2022. p. 1039-1044 (Proceedings of the IEEE Conference on Decision and Control).
2022 IEEE 61st Conference on Decision and Control (CDC). Institute of Electrical and Electronics Engineers, Inc., 2022. p. 1039-1044 (Proceedings of the IEEE Conference on Decision and Control).
Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review
