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State whether the integrator system is stable or not.

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in Signals and Systems by (1.2m points)
State whether the integrator system is stable or not.

(a) Unstable

(b) Stable

(c) Partially Stable

(d) All of the mentioned

I got this question in an international level competition.

Query is from BIBO Stability topic in chapter Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
Correct answer is (a) Unstable

The explanation: The integrator system keep accumulating values and hence may become unbounded even for a bounded input in case of an impulse.

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