15.1. Final Value Theorem

Try these first

1. 1.

   What does the Final Value Theorem help to determine?

   Hint

   Think about system responses over time.

2. 2.

   State one condition for applying FVT.

   Hint

   Consider where the poles should be located.

3. 3.

   What is the purpose of the Final Value Theorem?

   • To find initial values
   • To determine steady-state values
   • To perform inverse transforms

   Hint

   It relates to analyzing systems over time.

4. 4.

   Is the following statement true or false? 'FVT is valid when all poles are in the right half-plane.'

   • True
   • False

   Hint

   Think about pole locations in the complex plane.

5. 5.

   Given the function f(t) = e^(-t)(cos(t) + 1), find the final value using FVT. Consider the behavior in time as well.

   Hint

   You might need to consider the oscillatory behavior.

6. 6.

   Create a function that has poles in both left and right half-planes. Explain why this function cannot use FVT.

   Hint

   Think about stability in engineering contexts.