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.

中文翻译：

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回顾1D和2D Laplace变换

本文回顾了单边和双边，一维和二维拉普拉斯变换。在一维情况下比较单边和双边拉普拉斯变换，从而得出初始条件定理。使用双边拉普拉斯变换可以在一维和二维情况下解决所有问题。分数阶系统的情况也包括在内。介绍了一般的二维线性系统，并定义了相应的传递函数。