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If the impulse response in absolutely integrable then the system is :

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If the impulse response in absolutely integrable then the system is :

(a) Absolutely stable

(b) Unstable

(c) Linear

(d) None of the mentioned

This question was posed to me in homework.

This intriguing question originated from Stability of Nonlinear System topic in division Nonlinear Systems of Control Systems

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Best answer
The correct option is (a) Absolutely stable

Explanation: The impulse response must be absolutely integrable for the system to absolutely stable.

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