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How do you describe a stable system informally?

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How do you describe a stable system informally?

(a) When small inputs lead to responses that do not diverge

(b) When small inputs lead to responses that diverge

(c) When large inputs lead to diverging outputs

(d) All inputs lead to outputs that converge

The question was asked in homework.

My question is from BIBO Stability & Systems in the Time Domain in portion Signals and Systems Basics of Signals and Systems

1 Answer

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The correct option is (a) When small inputs lead to responses that do not diverge

Explanation: When small inputs lead to output responses that do not tend to infinity. The output of such systems does not diverge if the input does not diverge.

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