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Does the system h(t) = exp([-1-2j]t) correspond to a stable system?

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+1 vote
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in Signals and Systems by (1.2m points)
Does the system h(t) = exp([-1-2j]t) correspond to a stable system?

(a) Yes

(b) No

(c) Marginally Stable

(d) None of the mentioned

I got this question in an internship interview.

The query is from Properties of LTI Systems in section Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

0 votes
by (42.1k points)
Right answer is (c) Marginally Stable

Best explanation: The system corresponds to an oscillatory system, this resolving to a marginally stable system.

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