TY - JOUR
T1 - Equivalent 2-D nonsingular Roesser models for discrete linear repetitive processes
AU - Boudellioua, Mohamed S.
AU - Galkowski, Krzysztof
AU - Rogers, Eric
N1 - Funding Information:
National Science Centre in Poland [grant number 2015/17/B/ST7/03703]. The authors wish to express their thanks to Sultan Qaboos University (Oman) for their support in carrying out this research work. Also, this work is partially supported by National Science Centre in Poland, grant No. 2015/17/B/ST7/03703.
Funding Information:
The authors wish to express their thanks to Sultan Qaboos University (Oman) for their support in carrying out this research work. Also, this work is partially supported by National Science Centre in Poland, grant No. 2015/17/B/ST7/03703.
Publisher Copyright:
© 2017, © 2017 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2018/12/2
Y1 - 2018/12/2
N2 - The elementary operations algorithm is used to establish that a system matrix describing a discrete linear repetitive process can be transformed to that of a 2-D nonsingular Roesser model where all the input–output properties are preserved. Moreover, the connection between these system matrices is shown to be input–output equivalence. The exact forms of the resulting system matrix and the transformation involved are established. Some areas for possible future use/application of the developed results are also briefly discussed.
AB - The elementary operations algorithm is used to establish that a system matrix describing a discrete linear repetitive process can be transformed to that of a 2-D nonsingular Roesser model where all the input–output properties are preserved. Moreover, the connection between these system matrices is shown to be input–output equivalence. The exact forms of the resulting system matrix and the transformation involved are established. Some areas for possible future use/application of the developed results are also briefly discussed.
KW - 2-D discrete systems
KW - 2-D non-singular Roesser form
KW - Linear repetitive processes
KW - input–output equivalence
KW - system matrix
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U2 - 10.1080/00207179.2017.1414307
DO - 10.1080/00207179.2017.1414307
M3 - Article
AN - SCOPUS:85039048269
SN - 0020-7179
VL - 91
SP - 2673
EP - 2681
JO - International Journal of Control
JF - International Journal of Control
IS - 12
ER -