Fundamentals of Industrial Electronics

7

Laplace Transforms

Dalton S. Nelson

The University of Alabama at Birmingham

7.1      Introduction

7.2      Properties of the Laplace Transform

Linearity • s-Domain Shifting • Time-Domain Shifting • Periodic Functions • Initial and Final Value Theorems • Integrals (Integration) • Derivatives (Differentiation)

7.3      The Inverse Transform

Partial Fractions

7.4      Miscellaneous Examples

References

7.1      Introduction

In practice, many engineering and technology problems may be represented as integro-differential equations that need to be solved. Depending on the order of the equation, the solution may be simple or very complex, especially where the standard techniques of integral and differential calculus are used. An alternative is to use ...