##
ADVANCED TOPICS

#### 17.7.1 Input Functions

In some cases a system input function is comprised of many different functions, as shown in Figure 17.33 Switching on and off function parts. The step function can be used to switch function on and off to create a piecewise function. This is easily converted to the s-domain using the e-to-the-s functions.

Figure 17.33 Switching on and off function parts

#### 17.7.2 Initial and Final Value Theorems

The initial and final values an output function can be calculated using the theorems shown in Figure 17.34 Final and initial values theorems.

Figure 17.34 Final and initial values theorems