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- TitleA note on the cross Gramian for non-symmetric systems
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- Published
- AnnotationFinanziert durch den Open-Access-Publikationsfonds 2015/2016 der Westfälischen Wilhelms-Universität Münster (WWU Münster).
- LanguageEnglish
- Bibl. ReferenceSystems Science & Control Engineering 4 (2016) 1, 199-208
- Document typeJournal Article
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Abstract
The cross Gramian matrix is a tool for model reduction and system identification, but it is only applicable to square control systems. For symmetric systems, the cross Gramian possesses a useful relation to the system's associated Hankel singular values. Yet, many real-life models are neither square nor symmetric. In this work, concepts from decentralized control are used to approximate a cross Gramian for non-symmetric and non-square systems. To illustrate this new non-symmetric cross Gramian, it is applied in the context of model order reduction.
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