Duarte Ortigueira, ManuelMachado, J. A. Tenreiro2022-01-122022-01-122020http://hdl.handle.net/10400.22/19411The 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 definedengLaplace transformTwo-dimensional laplace transformInitial-conditionsTwo-dimensional linear systemsjournal article10.3390/math8081330