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On the Property of a Discrete Impulse Response Gramian with Application to Model Reduction
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2005/12/01
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Systems and Control
discrete impulse response Gramian, model reduction,
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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.