Duarte Ortigueira, M.; Tenreiro Machado, J. Revisiting the 1D and 2D Laplace Transforms. Mathematics 2020, 8, 1330, doi:10.3390/math8081330.
Duarte Ortigueira, M.; Tenreiro Machado, J. Revisiting the 1D and 2D Laplace Transforms. Mathematics 2020, 8, 1330, doi:10.3390/math8081330.
Duarte Ortigueira, M.; Tenreiro Machado, J. Revisiting the 1D and 2D Laplace Transforms. Mathematics 2020, 8, 1330, doi:10.3390/math8081330.
Duarte Ortigueira, M.; Tenreiro Machado, J. Revisiting the 1D and 2D Laplace Transforms. Mathematics 2020, 8, 1330, doi:10.3390/math8081330.
Abstract
This paper reviews the unilateral and bilateral, one- and two-dimensional Laplacetransforms. 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 generalityin the one- and two-dimensional cases with the bilateral Laplace transform. General two-dimensionallinear systems are introduced and the corresponding transfer function defined.
Keywords
Laplace transform; Two-dimensional Laplace transform; Initial-conditions; Two-dimensional linear systems
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.