Abstract
The role of Liouville operators in the study of dynamical systems through the use of occupation measures has been an active area of research in control theory over the past decade. This manuscript investigates Liouville operators over the Hardy space, which encode complex ordinary differential equations in an operator over a reproducing kernel Hilbert space.
| Original language | English |
|---|---|
| Article number | 125854 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 508 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 15 2022 |
Funding
Notice: This manuscript has been authored, in part, by UT-Battelle, LLC, under contract DE-AC05-00OR22725 with the US Department of Energy (DOE). The US government retains and the publisher, by accepting the article for publication, acknowledges that the US government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for US government purposes. DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan (http://energy.gov/downloads/doe-public-access-plan).Research supported by AFOSR Award FA9550-20-1-0127, AFOSR YIP FA9550-21-1-0134.Research supported by NSF grant ECCS-2027976.
Keywords
- Dynamic mode decomposition
- Liouville operators
- Liouville weighted composition operators
- Occupation kernels
- Reproducing kernel Hilbert spaces