TY  - JOUR
AB  - 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.
AU  - Himpe, Christian
AU  - Ohlberger, Mario
AU  - Ohlberger, M.
DA  - 2016-08-10
DO  - 10.1080/21642583.2016.1215273
KW  - Cross Gramian
KW  - controllability
KW  - observability
KW  - decentralized control
KW  - model reduction
LA  - eng
N1  - Systems Science & Control Engineering 4 (2016) 1, 199-208
N1  - Finanziert durch den Open-Access-Publikationsfonds 2015/2016 der Westfälischen Wilhelms-Universität Münster (WWU Münster).
PY  - 2016-08-10
TI  - A note on the cross Gramian for non-symmetric systems
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-04269619001
Y2  - 2024-11-22T12:44:39
ER  -