A Unified Software Framework for Empirical Gramians. (18th September 2013)

• Record Type: Journal Article
• Authors: Himpe, Christian; Ohlberger, Mario
• Other Names: Neta Beny Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2013(2013)
• Publication Date: 2013-09-18
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2013/365909
• Languages: English
• ISSNs: 2314-4629

Abstract

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.