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Which of the following is exhibited by Root locus diagrams?

(a) The poles of the transfer function for a set of parameter values

(b) The bandwidth of the system

(c) The response of a system to a step input

(d) The frequency response of a system

This question was posed to me in an internship interview.

My doubt stems from Diagonalization topic in division State Variable Analysis and Design of Control Systems

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Correct choice is (a) The poles of the transfer function for a set of parameter values

To explain I would say: Root locus diagram is the diagram that is constructed in which the locus is traced with the gain with increasing frequency has the poles of the transfer function for a set of parameter values.

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