15.3.1. Definition of Final Value Theorem (FVT)

Try these first

1. 1.

   What is the Final Value Theorem?

   Hint

   Think about the relationship between time-domain and frequency-domain.

2. 2.

   List one application of the FVT.

   Hint

   Consider where steady-state conditions are needed.

3. 3.

   What does the Final Value Theorem allow us to determine?

   • Initial value
   • Steady-state value
   • Oscillatory behavior

   Hint

   Focus on what 'final' signifies in the context of a system.

4. 4.

   The FVT can be applied if poles of sF(s) are in the right half-plane. True or False?

   • True
   • False

   Hint

   Consider the location of poles and their implications for stability.

5. 5.

   Given f(t) = 2 - e^(-3t), use the FVT to find the final value.

   Hint

   Watch for your transformations carefully!

6. 6.

   If f(t) = 1 + e^(-t), assess if FVT applies and calculate.

   Hint

   Check pole conditions before applying.