A Unified Software Framework for Empirical Gramians

Himpe C, Ohlberger M

Research article (journal) | Peer reviewed

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.

Details about the publication

Volume2013
Issue2013
Page range1-6
StatusPublished
Release year2013 (19/09/2013)
Language in which the publication is writtenEnglish
DOI10.1155/2013/365909
KeywordsModel Redcution; Parameter Identification; Sensitivity Analysis; Balanced Truncation; Controllability Gramian; Observability Gramian; Cross Gramian; Sensitivity Gramian; Identifiability Gramian; Joint Gramian

Authors from the University of Münster

Himpe, Christian
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)
Ohlberger, Mario
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)