Observability for Non-Autonomous Systems - 03 Observability and Differential Operators скачать в хорошем качестве

Observability for Non-Autonomous Systems - 03 Observability and Differential Operators

We formulate the observability problem for the concrete example of a family of non-autonomous differential operators on an L^p space. Then we verify the existence of a corresponding exponentially bounded evolution family a dissipativity estimate an uncertainty estimate In the second half of the video, we discuss different geometric conditions on the observation sets \Omega(t) and their relation to final state observability. This video is part of the interactive poster I created for my online session at the "Workshop on Stability and Control of Infinite-Dimensional Systems (SCINDIS 2020)" hosted by Wuppertal university. Click here to access the poster: https://writemd.rz.tuhh.de/s/3nByOiBjz Click here for more information on #scindis https://www.fan.uni-wuppertal.de/de/a... Find more about my research at https://math.fabian-gabel.de/research/ ==== References ==== C. Bombach, F. Gabel, C. Seifert, M. Tautenhahn, Observability for non-autonomous systems, 2022. arXiv:2203.08469 [math.FA]. https://arxiv.org/abs/2203.08469 To appear in SIAM Journal on Control and Optimization. #Mathematics #FunctionalAnalysis #BanachSpace, #EvolutionEquations #ControlTheory #Observability #Semigroups #UncertaintyEstimate #Dissipativity #EllipticDifferentialOperators #LogvinenkoSereda #ThickSet