Object
Title: Towards a framework for continuous and discrete multidimensional systems
Contributor:
Gałkowski, Krzysztof - ed. ; Longman, Richard W. - ed. ; Rogers, Eric - ed.
Subtitle:
Multidimensional Systems nD and Iterative Learning Control
Group publication title:
Abstract:
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).
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 13, number 1 (2003) ; click here to follow the link
Language:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2003)
Last modified:
Oct 18, 2021
In our library since:
Oct 14, 2021
Number of object content hits:
70
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/65882
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International Journal of Applied Mathematics and Computer Science (AMCS)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13, number 1 (2003)
- A functorial approach to the behaviour of multidimensional control systems
- Polynomial systems theory applied to the analysis and design of multidimensional systems
- Stability analysis of solutions to an optimal control problem associated with a Goursat-Darboux problem
- An application of the Fourier transform to optimization of continuous 2-D systems
- Controllability and reconstructability of a system described by the N-D Roesser model
- Canonical forms of singular 1D and 2D linear systems
- Towards a framework for continuous and discrete multidimensional systems
- Linear repetitive process control theory applied to a physical example
- On the interaction between theory, experiments, and simulation in developing practical learning control algorithms
- Iterative learning control for over-determined, under-determined, and ill-conditioned systems
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13, number 2 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13, number 3 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13, number 4 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13, number 1 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
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International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Edition name | Date |
|---|---|
| Towards a framework for continuous and discrete multidimensional systems | Oct 18, 2021 |
