State-space models of 3-D transfer function matrix
作者:
A. M. EYDGAHI,
H. SINGH,
期刊:
International Journal of Systems Science
(Taylor Available online 1989)
卷期:
Volume 20,
issue 1
页码: 19-32
ISSN:0020-7721
年代: 1989
DOI:10.1080/00207728908910102
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
An algorithm for obtaining two different state-space models of all three-dimensional (3-D) transfer function matrices is given. The resulting 3-D models are the 3-D analogue of the Roesser 2-D model and Eising 2-D model. The relation between these two models is also given. The approach is based on the construction of the Hankel matrix from the polynomial coefficients of a negative power series expansion of 3-D, 2-D, and 1-D transfer function matrices, respectively. The proposed algorithm results in a few large system matrices for the 3-D model analogue of the Roesser 2-D model, while there are more system matrices for the 3-D model analogue of the Eising 2-D model but of a smaller order.
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