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arXiv · 1301.6879

A Unified Software Framework for Empirical Gramians

Christian Himpe·Mario Ohlberger
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Abstract

A common approach in model reduction is balanced truncation, which is based on gramian matrices classifiying 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 provide 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 (MIMO) systems.

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Christian Himpe, Mario Ohlberger. 2013-01-29. A Unified Software Framework for Empirical Gramians. https://doi.org/10.1155/2013%2F365909

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