ABSTRACT

The Laplace transform, like the Fourier transform, is referred to a frequency-domain representation that makes solution, design, and analysis of linear systems simpler. It gives some insights about the frequency contents of signals where these insights are hard to see in real-time systems. The chapter discusses the Bilateral Laplace transform and the Unilateral Laplace transform. It also discusses the properties of the Laplace transform along with the Inverse Laplace transform. The chapter deals dynamical systems that can be represented as differential equations, and reviews the initial value theorem. It provides some insights into the poles and zeros of the dynamical systems.