Journal article

A unified software framework for empirical gramians

Himpe C, Ohlberger M ...see all

Journal of Mathematics, vol. 2013 (2013) Published by Hindawi Publishing Corporation

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Abstract

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.

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Authors

  • Mario OhlbergerWestphalian Wilhelm University Munster Institute of Numerical and Applied Mathematics

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  • Christian Himpe

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