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Question: 3 degree of freedom transfer function (special roots?)

Question:3 degree of freedom transfer function (special roots?)

tsunamiBTP 292 Maple
transfer-function root-loci
March 14 2017
0

I have included a transfer function of a 3 degree of freedom system.  There are special loci, aside from s = 0, where the numerator will equate to a REAL scalar value, and the denominator will reduce to a simple product of the individual z roots.  Does anyone know if there is some physical significance, interpretation, or analog to this condition and special loci?untitled.mw

 
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