TY - JOUR
T1 - Characterization of a class of spatially interconnected systems (ladder circuits) using two-dimensional systems theory
AU - Boudellioua, Mohamed S.
AU - Galkowski, Krzysztof
AU - Rogers, Eric
N1 - Funding Information:
This work has been supported by Sultan Qaboos University (Oman) and also by the National Science Centre in Poland, Grant No. 2015/17/B/ST7/03703.
Publisher Copyright:
© 2019, The Author(s).
PY - 2019
Y1 - 2019
N2 - This paper considers a class of spatially interconnected systems formed by ladder circuits using two-dimensional systems theory. The individual circuits in this class are described by hybrid (continuous/discrete) linear differential/difference equations in time (continuous) and spatial (discrete) variables and therefore have a two-dimensional systems structure. This paper shows that a ladder circuit model and models for 2-D dynamics have a well defined equivalence property and hence analysis tools can be transferred between them. Also the mechanism for transforming one to the other is established.
AB - This paper considers a class of spatially interconnected systems formed by ladder circuits using two-dimensional systems theory. The individual circuits in this class are described by hybrid (continuous/discrete) linear differential/difference equations in time (continuous) and spatial (discrete) variables and therefore have a two-dimensional systems structure. This paper shows that a ladder circuit model and models for 2-D dynamics have a well defined equivalence property and hence analysis tools can be transferred between them. Also the mechanism for transforming one to the other is established.
KW - Ladder circuit networks
KW - Spatially interconnected systems
KW - Two-dimensional systems
KW - Zero coprime system equivalence
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U2 - 10.1007/s11045-019-00644-9
DO - 10.1007/s11045-019-00644-9
M3 - Article
AN - SCOPUS:85064634362
SN - 0923-6082
VL - 30
SP - 2185
EP - 2197
JO - Multidimensional Systems and Signal Processing
JF - Multidimensional Systems and Signal Processing
IS - 4
ER -