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On the property of a discrete impulse response Gramian with application to model reduction

Authors
Choo, Y
Issue Date
Dec-2005
Publisher
IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG
Keywords
discrete impulse response Gramian; model reduction
Citation
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, v.E88A, no.12, pp.3658 - 3660
Journal Title
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Volume
E88A
Number
12
Start Page
3658
End Page
3660
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/25136
DOI
10.1093/ietfec/e88-a.12.3658
ISSN
0916-8508
Abstract
It has been observed in the literature that the characteristic polynomial of a discrete system can be computed from the characteristic impulse response Gramian. In this letter it is shown that a given characteristic impulse response Gramian, in fact, contains information on two characteristic polynomials. The importance of this result is illustrated through an application to model reduction of discrete systems.
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