15.2. Introduction

Try these first

1. 1.

   What is the Final Value Theorem (FVT)?

   Hint

   Think about the long-term behavior of systems.

2. 2.

   Why is it important to verify if the limits exist before applying FVT?

   Hint

   Consider different types of functions and their behavior.

3. 3.

   What does the Final Value Theorem calculate?

   • Initial value
   • Steady-state value
   • Instantaneous value

   Hint

   Consider what steady-state means in systems.

4. 4.

   The FVT can be applied only if f(t) converges to a:

   • True
   • False

   Hint

   Think about conditions we discussed.

5. 5.

   Given a system with the transfer function G(s) = 5/(s^2 + 5s + 6), find the final value of f(t) using the FVT.

   Hint

   Check the poles before applying FVT.

6. 6.

   Analyze if FVT can be applied to f(t) = cos(2t) + e^(-t) and explain your reasoning.

   Hint

   Think about the limits as t approaches infinity.