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Definition of Laplace Transform

对一个函数\(f(t)\)做拉普拉斯变换，可以将其从实数域（\(t\)）转换到复数域（\(s\)），它的定义为

\(\displaystyle {\mathcal {L}}[f(t)]=F(s)=\int _{0}^{\infty }f(t)e^{-st}\,\mathrm {d} t\)

其中，\(s=\sigma +i\omega\)，\(\sigma\)和\(\omega\)为实数
- 积分下限从0开始，从控制工程的角度来讲，不需要去研究时间0点之前的事情，而是把这部分留给哲学家

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