A system with a double pole at the origin is unstable since the corresponding term in the time domain________________?
Correct answer: C. Grows linearly with time
- A. Is a constant
- B. Grows exponentially with time
- C. Grows linearly with time
- D. Decays linearly with time
Explanation
A double pole at the origin gives an inverse-Laplace term proportional to t, since L⁻¹{1/s²} = t. This unbounded linear growth makes the system unstable, unlike a simple pole at the origin, which produces a constant term.
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