Abstract
Multidimensional systems with continuous variables result from the description of natural or technical systems by differential equations. Whenever not only the time evolution but also the spatial extension has to be considered, then the mathematical description comprises partial derivatives with respect to time and also partial derivatives with respect to space. At first distributed parameter systems are presented as opposed to lumped parameter systems. Their rigorous mathematical description by partial differential equations is reviewed for the linear case along with initial and boundary conditions.
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Notes
- 1.
Augustin-Louis Cauchy (1789–1857).
- 2.
Peter Gustav Lejeune Dirichlet (1805–1859), Carl Gottfried Neumann (1832–1925), Victor Gustave Robin (1855–1897).
- 3.
Alfred Fettweis, 1926–2015.
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Rabenstein, R., Schäfer, M. (2023). Continuous Multidimensional Systems. In: Multidimensional Signals and Systems. Springer, Cham. https://doi.org/10.1007/978-3-031-26514-3_9
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