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Pure imaginary pair:

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Pure imaginary pair:

(a) Centre

(b) Focus point

(c) Saddle point

(d) Stable node

The question was asked in examination.

I want to ask this question from Controlability and Observability in chapter State Variable Analysis and Design of Control Systems

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Correct option is (a) Centre

Explanation: Pure imaginary pair is the nature of the root of the equation that has no real part only has the nature of center for linearized autonomous second order system.

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