ABSTRACT
Laplace transforms and their inverses are a mathematical technique which allows solving differential equations, by primarily using algebraic methods. This simplification in the solving of equations, coupled with the ability to directly implement electrical components in their transformed form, makes the use of Laplace transforms widespread in both electrical engineering and control systems engineering. Laplace transforms have many further applications in mathematics, physics, optics, signal processing, and probability. The chapter explains how the inverse Laplace transform is determined, which can also involve the use of partial fractions. It explains poles and zeros of transfer functions; these are of importance in stability and control systems.
