A Unified Software Framework for Empirical Gramians

By Himpe Christian and Ohlberger Mario
Journal of Mathematics (2013)

1 companion websites

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emgr - The Empirical Gramian Framework

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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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Suggested citation

Himpe C. and Ohlberger M. (2013) A Unified Software Framework for Empirical Gramians. Journal of Mathematics, 2013, 1-6.

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