Continuing our discussions on the methods used to analyze dynamic systems and the characteristics of their responses, we will now focus our efforts on a special kind of Laplace-domain representation known as theand will develop a set of tools and techniques relevant to transfer function analysis. By analyzing transfer functions we will be able to identify properties of dynamic systems – rather than properties of their responses – and, later, specify desirable system design characteristics in terms of transfer function properties. In turn, transfer functions will enable our eventual transition from analysis tasks to design tasks and will be pivotal in moving forward. Accordingly, we will begin by demonstrating how a linear system can be put into the form of a transfer function, and we will review some basic properties of these representations.
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