Modern Control Systems: An Introduction

Appendix B: Laplace and Z-Transform Pairs

Time Function

f(t)

Laplace Transform

F(s)

z-Transform

F(z)

? (t)

1

1

u(t)

1/ s

t

1/ s 2

t 2/2

1/ s 3

e -?t

te -?t

1 - e -?t

sin ? t

e -?t sin ? t

cos ? t

e -?t cos ? t

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