TY - JOUR
T1 - Equivalence of wave linear repetitive processes and the singular 2-D Roesser state-space model
AU - Boudellioua, M. S.
AU - Galkowski, K.
AU - Rogers, E.
N1 - Funding Information:
The authors wish to express their thanks to Sultan Qaboos University (Oman) for their support of this research work, Grant No. IG-SCI-DOMS-18-11. Also, this work is partially supported by National Science Centre in Poland, Grant No. 2015/17/B/ST7/03703.
Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - This paper develops a direct method for transforming a polynomial system matrix describing a discrete wave linear repetitive process to a 2-D singular state-space Roesser model description where all relevant properties, including the zero coprimeness properties of the system matrix, are retained. It is shown that the transformation is zero coprime system equivalence. The structure of the resulting system matrix in singular form and the transformation are also established.
AB - This paper develops a direct method for transforming a polynomial system matrix describing a discrete wave linear repetitive process to a 2-D singular state-space Roesser model description where all relevant properties, including the zero coprimeness properties of the system matrix, are retained. It is shown that the transformation is zero coprime system equivalence. The structure of the resulting system matrix in singular form and the transformation are also established.
KW - 2-D discrete systems
KW - 2-D singular Roesser form
KW - Linear wave repetitive processes
KW - System matrix
KW - Zero-coprime system equivalence
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U2 - 10.1007/s11045-019-00654-7
DO - 10.1007/s11045-019-00654-7
M3 - Article
AN - SCOPUS:85065315827
SN - 0923-6082
VL - 31
SP - 103
EP - 116
JO - Multidimensional Systems and Signal Processing
JF - Multidimensional Systems and Signal Processing
IS - 1
ER -