Revisiting the 1D and 2D Laplace Transforms

Manuel Duarte Ortigueira and José Tenreiro Machado
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Manuel Duarte Ortigueira: CTS-UNINOVA and DEE of NOVA School of Science and Technology, 2829-516 Caparica, Portugal
José Tenreiro Machado: Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering, 431 4249-015 Porto, Portugal

Mathematics, 2020, vol. 8, issue 8, 1-24

Abstract: 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.

Keywords: laplace transform; two-dimensional laplace transform; initial-conditions; two-dimensional linear systems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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