Abstract
This paper is devoted to modelling the spatially interconnected system, particularly the regular circuit displayed in the plane as a 3-D system with two spatial indeterminates and one temporal indeterminate. First, the singular and nonsingular 3-D models of the Fornasini–Marchesini type are derived. Next, these models are transformed into the equivalent Roesser models. This work is a basis for further control applications of spatially interconnected systems on the plane.
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This work is partially supported by National Science Centre in Poland, Grant No. 2015/17/B/ST7/03703, the Japan Society for the Promotion of Science (JSPS.KAKENHI15K06072).
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Zhao, D., Galkowski, K., Sulikowski, B. et al. 3-D modelling of rectangular circuits as the particular class of spatially interconnected systems on the plane. Multidim Syst Sign Process 30, 1583–1608 (2019). https://doi.org/10.1007/s11045-018-0619-8
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DOI: https://doi.org/10.1007/s11045-018-0619-8