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Revisiting the 1D and 2D laplace transforms
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Orientador(es)
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.
Descrição
Foundation for Science and Technology of Portugal, under the projects UIDB/00066/2020.
Palavras-chave
Initial-conditions Laplace transform Two-dimensional laplace transform Two-dimensional linear systems General Mathematics