Complex poles in a transfer function lead to which type of behavior?

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Multiple Choice

Complex poles in a transfer function lead to which type of behavior?

Explanation:
Oscillatory behavior is produced whenever a transfer function has complex-conjugate poles. If those poles have negative real parts, the oscillations decay over time, giving an underdamped response. This contrasts with real, negative poles (overdamped or critically damped) which don’t oscillate, and with poles with positive real parts which would be unstable. So complex poles with damping lead to underdamped, oscillatory yet decaying behavior.

Oscillatory behavior is produced whenever a transfer function has complex-conjugate poles. If those poles have negative real parts, the oscillations decay over time, giving an underdamped response. This contrasts with real, negative poles (overdamped or critically damped) which don’t oscillate, and with poles with positive real parts which would be unstable. So complex poles with damping lead to underdamped, oscillatory yet decaying behavior.

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