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 - 2024-12-27T10:33:10 ER -