Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Sebastian Peitz"'
Autor:
Manuel Berkemeier, Sebastian Peitz
Publikováno v:
Mathematical and Computational Applications, Vol 26, Iss 2, p 31 (2021)
We present a local trust region descent algorithm for unconstrained and convexly constrained multiobjective optimization problems. It is targeted at heterogeneous and expensive problems, i.e., problems that have at least one objective function that i
Externí odkaz:
https://doaj.org/article/59e4af38b8a0468a8d3ee0278119e176
Autor:
Sebastian Peitz, Michael Dellnitz
Publikováno v:
Mathematical and Computational Applications, Vol 23, Iss 2, p 30 (2018)
Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to compute the set
Externí odkaz:
https://doaj.org/article/cba48286f89b410a94e8e0cc06740cdb
Autor:
Michael Dellnitz, Eyke Hüllermeier, Marvin Lücke, Sina Ober-Blöbaum, Christian Offen, Sebastian Peitz, Karlson Pfannschmidt
Publikováno v:
SIAM Journal on Scientific Computing. 45:A579-A595
Many problems in science and engineering require an efficient numerical approximation of integrals or solutions to differential equations. For systems with rapidly changing dynamics, an equidistant discretization is often inadvisable as it either res
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d84a3e44849d70749224acecd2b1057
https://doi.org/10.1137/21m1412682
https://doi.org/10.1137/21m1412682
Autor:
Sina Ober-Blöbaum, Sebastian Peitz
Publikováno v:
International Journal of Robust and Nonlinear Control. 31:380-403
Model predictive control is a prominent approach to construct a feedback control loop for dynamical systems. Due to real-time constraints, the major challenge in MPC is to solve model-based optimal control problems in a very short amount of time. For
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37a2dbc66b97da05023dfe1480230157
https://doi.org/10.1002/rnc.5281
https://doi.org/10.1002/rnc.5281
Publikováno v:
International Journal of Robust and Nonlinear Control. 30:7593-7618
In real-world problems, uncertainties (e.g., errors in the measurement, precision errors) often lead to poor performance of numerical algorithms when not explicitly taken into account. This is also the case for control problems, where optimal solutio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e79fb57ffc2a11f6466b291e577f69c
https://doi.org/10.1002/rnc.5197
https://doi.org/10.1002/rnc.5197
Publikováno v:
Theoretical and Computational Fluid Dynamics. 34:577-591
The control of complex systems is of critical importance in many branches of science, engineering, and industry, many of which are governed by nonlinear partial differential equations. Controlling an unsteady fluid flow is particularly important, as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d7d1799b12223466d13841a64315ee7c
https://doi.org/10.1007/s00162-020-00520-4
https://doi.org/10.1007/s00162-020-00520-4
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 19:2162-2193
In recent years, the success of the Koopman operator in dynamical systems analysis has also fueled the development of Koopman operator-based control frameworks. In order to preserve the relatively low data requirements for an approximation via Dynami
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0a16efae82cc042716afc079d8cf05b
https://doi.org/10.1137/20m1325678
https://doi.org/10.1137/20m1325678
Publikováno v:
IFAC-Papers
While Koopman-based techniques like extended Dynamic Mode Decomposition are nowadays ubiquitous in the data-driven approximation of dynamical systems, quantitative error estimates were only recently established. To this end, both sources of error res
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a1da3381539f4673b51b29402bf2392
http://arxiv.org/abs/2202.09084
http://arxiv.org/abs/2202.09084
Publikováno v:
Journal of Physics A
Koopman operator theory has been successfully applied to problems from various research areas such as fluid dynamics, molecular dynamics, climate science, engineering, and biology. Applications include detecting metastable or coherent sets, coarse-gr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c58e1550d81accace3c2371a2fcd34a6
Autor:
Sebastian Peitz, Katharina Bieker
Publikováno v:
MATHMOD 2022 Discussion Contribution Volume.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6239c5083b6cfda51a8b638ee0c4a9bb
https://doi.org/10.11128/arep.17.a17012
https://doi.org/10.11128/arep.17.a17012