Revisiting the 1D and 2D Laplace Transforms

Duarte Ortigueira, Manuel; Machado, J. A. Tenreiro

http://hdl.handle.net/10400.22/19411

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Autores

Duarte Ortigueira, Manuel

Machado, J. A. Tenreiro

Resumo(s)

The paper reviews the unilateral and bilateral, one- and two-dimensional Laplace transforms. The unilateral and bilateral Laplace transforms are compared in the one-dimensional case, leading to the formulation of the initial-condition theorem. This problem is solved with all generality in the one- and two-dimensional cases with the bilateral Laplace transform. The case of fractional-order systems is also included. General two-dimensional linear systems are introduced and the corresponding transfer function is defined