Gałkowski, Krzysztof - ed. ; Longman, Richard W. - ed. ; Rogers, Eric - ed.
Multidimensional Systems nD and Iterative Learning Control
Continuous multidimensional systems described by partial differential equations can be represented by discrete systems in a number of ways. However, the relations between the various forms of continuous, semi-continuous, and discrete multidimensional systems do not fit into an established framework like in the case of one-dimensional systems. ; This paper contributes to the development of such a framework in the case of multidimensional systems. First, different forms of partial differential equations of physics-based systems are presented. ; Secondly, it is shown how the different forms of continuous multidimensional systems lead to certain discrete models in current use (finite-difference models, multidimensional wave digital filters, transfer function models). ; The links between these discrete models are established on the basis of the respective continuous descriptions. The presentation is based on three examples of physical systems (heat flow, transmission of electrical signals, acoustic wave propagation).
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 13, number 1 (2003) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
2021-10-18
2021-10-14
57
https://zbc.uz.zgora.pl/repozytorium/publication/65882
Nazwa wydania | Data |
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Towards a framework for continuous and discrete multidimensional systems | 2021-10-18 |
Horn, Werner Sokołowski, Jan Korbicz, Józef - red. Uciński, Dariusz - red.
Rafajłowicz, Ewaryst Styczeń, Krystyn Rafajłowicz, Wojciech Korbicz, Józef - red. Uciński, Dariusz - red.
Cherniha, Roman Stachowska-Piętka, Joanna Waniewski, Jacek Korbicz, Józef - red. Uciński, Dariusz - red.
Reddy, Bijjula Prabhakar Jurczak, Paweł - red.
Hätönen, Jari Ylinen, Raimo Gałkowski, Krzysztof - ed. Longman, Richard W. - ed. Rogers, Eric - ed.
Bartecki, Krzysztof Korbicz, Józef - red. Uciński, Dariusz - red.
Wojnarowski, Józef Jurczak, Paweł - red.
Paliivets, Maksim Bakshtanin, Alexander Benin, Dmitriy M. Andreev, E. Snezhko, V.L. Jurczak, Paweł - red.