Inverse laplace transformation of rational functions. 1

Author

Dyer, Stephen A.

Author_Institution

Dept. of Electr. & Comput. Eng., Kansas State Univ., Manhattan, KS

Volume

9

Issue

5

fYear

2006

Firstpage

13

Lastpage

15

Abstract

The Laplace transform is one of an array of integral transforms gathered under the topic of operational mathematics. Laplace transform and the Fourier transform are the two integral transforms most utilized by the typical physicist or engineer. Rediscovered more than two centuries ago by P.S. de Laplace - Euler discovered it first - the Laplace transform has enjoyed a prominent place in scientists\´ and engineers\´ toolboxes for only the past 60-or-so years. It is the "modern" form of Heaviside\´s operational calculus, placing his calculus on firm mathematical ground and extending its rules and methods. The case for the inverse transformation when H(s) is rational is discussed

Keywords

Fourier transforms; Laplace transforms; rational functions; Fourier transform; Heaviside operational calculus; integral transforms; inverse Laplace transformation; rational functions; Circuit theory; Delay effects; Differential algebraic equations; Differential equations; Frequency; Laplace equations; Linear systems; Mathematical model; Time domain analysis; Transfer functions;

fLanguage

English

Journal_Title

Instrumentation & Measurement Magazine, IEEE

Publisher

ieee

ISSN

1094-6969

Type

jour

DOI

10.1109/MIM.2006.1708344

Filename

1708344