The transfer function relating to the deviation of variables needs to be derived. Concept introduction: A Taylor series in mathematics is a description of a function as an infinite number of terms determined at a single point from the values of the function’s derivatives. The Laplace transform of a time-domain function, f ( t ) is represented by L [ f ( t ) ] is defined as: L [ f ( t ) ] =f ( s ) = ∫ 0 ∞ f ( t ) e -st dt . An integral transform equation is named as Laplace transforms equation after the inventor Pierre-Simon Laplace. This transform equation has many applications in science and engineering field. This transformation is used to transfer a real variable ( t ) into function of complex variable ( s ) .

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Chapter 4, Problem 4.15E

Interpretation Introduction

Interpretation:

The transfer function relating to the deviation of variables needs to be derived.

Concept introduction:

A Taylor series in mathematics is a description of a function as an infinite number of terms determined at a single point from the values of the function’s derivatives.

The Laplace transform of a time-domain function, f(t) is represented by L[f(t)] is defined as: L[f(t)]=f(s)=∫0∞f(t)e-stdt.

An integral transform equation is named as Laplace transforms equation after the inventor Pierre-Simon Laplace. This transform equation has many applications in science and engineering field. This transformation is used to transfer a real variable (t) into function of complex variable (s).

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