逆Nabla拉普拉斯变换的解析计算
Analytical calculation of the inverse nabla Laplace transform
摘要：
考虑了对应于因果序列的那卜拉拉普拉斯变换的逆变换。两种经典的方法，即，提出了残差计算法和部分分式法进行逆纳布拉拉普拉斯变换。对于第一种方法，提出了两个替代公式时，采用内部或外部的轮廓极点，分别。对于第二种方法，仔细地建立了关于那些流行函数的变换对的表。除了用两个示例说明所开发方法的有效性外，还进一步讨论了分数阶情况下的适用性。
英文摘要：
The inversion of nabla Laplace transform, corresponding to a causal sequence, is considered. Two classical methods, i.e., residual calculation method and partial fraction method are developed to perform the inverse nabla Laplace transform. For the first method, two alternative formulae are proposed when adopting the poles inside or outside of the contour, respectively. For the second method, a table on the transform pairs of those popular functions is carefully established. Besides illustrating the effectiveness of the developed methods with two illustrative examples, the applicability are further discussed in the fractional order case.
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