For the standard second-order response, tp=π/ωd and the zero-to-final-value rise time is tr=(π−θ)/ωd, θ=arccosζ. Requiring tp=2tr gives θ=π/2 and ζ=0, an undamped system, B. It is marginally stable rather than asymptotically stable; the source uses stable in the bounded natural-motion sense.
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