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To the best of my knowledge, it can be seen as the following: A first order system G(s)=K/(1+s(TL)) where TL is the transfer lag. Take the root of the denominator to be s = 1/TL, we can find out TL. Once you know TL you can discover the magnitude of its effect.

It generally decreases response time! As TL increases the value of the root decreases. The closer this value to the imaginary axis in root locus theory, the more dominance it plays in the system!

I may have talked around your answer but I hope I've helped

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Q: What is the effect of transfer lag on difference proportional band?
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