Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques

Autor: Yu Chen Peng, Liang Chun Wu, Ming-Cheng Shiue

Publikováno v: Results in Applied Mathematics, Vol 20, Iss , Pp 100407- (2023)

In this work, we numerically and theoretically study the finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging (BFN) techniques. The proof of the continuous data a

Externí odkaz: https://doaj.org/article/c79bece092054cb1aa68938568a29518

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Luenberger observers for infinite-dimensional systems, Back and Forth Nudging and application to a crystallization process

Autor: Lucas Brivadis, Vincent Andrieu, Jean-Paul Gauthier, Ulysse Serres

Publikováno v: SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2021, 59 (2), pp.857-886. ⟨10.1137/20M1329020⟩
SIAM Journal on Control and Optimization, 2021, 59 (2), pp.857-886. ⟨10.1137/20M1329020⟩

International audience; This paper deals with the observer design problem for time-varying linear infinite-dimensional systems. We address both the problem of online estimation of the state of the system from the output via an asymptotic observer, an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::505abcebaefddc29bcedf3df81800a73
http://arxiv.org/abs/2004.01568

New inversion methods for the single/multi-shape CLD-to-PSD problem with spheroid particles

Autor: Lucas Brivadis, Ludovic Sacchelli

Publikováno v: 21st International Symposium on Industrial Crystallization
21st International Symposium on Industrial Crystallization, Aug 2021, Berlin (on line), Germany
Journal of Process Control
Journal of Process Control, Elsevier, 2022, 109, pp.1-12. ⟨10.1016/j.jprocont.2021.11.008⟩

International audience; In this paper, we express the Chord Length Distribution (CLD) measure associated to a given Particle Size Distribution (PSD) when particles are modeled as suspended spheroids in a reactor. Using this approach, we propose two m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ca681fc46c541c9884f921e1ef8886f

Data assimilation for external geophysics : the back-and-forth nudging method

Autor: Amraoui, Samira

Publikováno v: Optimization and Control [math.OC]. COMUE Université Côte d'Azur (2015-2019), 2019. English. ⟨NNT : 2019AZUR4097⟩

The main objective of this thesis is to provide a general methodology to use a recently developed data assimilation method called back-and-forth nudging. The name «back-and-forth» referred to the successive back-and-forths in time performed by this

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______212::a64b6f4446b31eee63e4c0b4508b1ddc
https://tel.archives-ouvertes.fr/tel-02875993/file/2019AZUR4097.pdf