TY  - JOUR
AB  - A common approach in model reduction is balanced truncation, which is based on Gramian matrices classifying certain attributes of states or parameters of a given dynamic system. Initially restricted to linear systems, the empirical Gramians not only extended this concept to nonlinear systems but also provided a uniform computational method. This work introduces a unified software framework supplying routines for six types of empirical Gramians. The Gramian types will be discussed and applied in a model reduction framework for multiple-input multiple-output systems.
AU  - Himpe, Christian
AU  - Ohlberger, Mario
AU  - Ohlberger, M.
DA  - 2013
LA  - eng
N1  - Finanziert durch den Open-Access-Publikationsfonds 2013/2014 der Deutschen Forschungsgemeinschaft (DFG) und der Westfälischen Wilhelms-Universität Münster (WWU Münster).
N1  - Himpe, Christian; Ohlberger, Mario: A Unified Software Framework for Empirical Gramians. Journal of Mathematics; 2013, Vol. 2013, 365909.
http://dx.doi.org/doi:10.1155/2013/365909
PY  - 2013
TI  - A Unified Software Framework for Empirical Gramians
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-64319528070
Y2  - 2024-11-22T06:38:59
ER  -