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3 cards from this section. Quick, good the night before a test.
State the Final Value Theorem.
Remember the left-hand side is what we want to find.
What is the first step in applying FVT?
Look for the transformation rules you previously learned.
What does FVT help determine?
Recall the purpose of the theorem!
True or False: FVT cannot be applied if any poles of sF(s) are in the right half-plane.
Think about the implications of system stability.
For f(t) = e^(-3t), apply FVT to predict the long-term behavior. What is the final value?
Remember to look for potential limits as s approaches zero.
Discuss the implications of applying FVT incorrectly on a control system's stability analysis.
Think about what happens if the assumptions for convergence are violated.
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