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Roots with higher multiplicity on the imaginary axis makes the system :

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Roots with higher multiplicity on the imaginary axis makes the system :

(a) Absolutely stable

(b) Unstable

(c) Linear

(d) Stable

I got this question at a job interview.

The doubt is from Concept of Stability topic in section Stability and Algebraic Criteria of Control Systems

1 Answer

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Best answer
Right choice is (b) Unstable

Easiest explanation: Repetitive roots on the imaginary axis makes the system unstable.

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