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Properties of a generalized impulse response gramian with application to model reduction

Authors
Choo, YChoi, J
Issue Date
Dec-2004
Publisher
INST CONTROL AUTOMATION & SYSTEMS ENGINEERS
Keywords
generalized impulse response Gramian; Lyapunov equation; Markov parameter; model reduction; time-moment
Citation
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, v.2, no.4, pp.516 - 522
Journal Title
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
Volume
2
Number
4
Start Page
516
End Page
522
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/25716
ISSN
1598-6446
Abstract
In this paper we investigate the properties of a generalized impulse response Gramian. The recursive relationship satisfied by the family of Gramians is established. It is shown that the generalized impulse response Gramian contains information on the characteristic polynomial of a linear time-invariant continuous system. The results are applied to model reduction problem.
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