When according to the design specifications (tolerated overshoot) we find a desired damping factor threshold:

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This factor could have any real value between -1 and 1, but excluding zero

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This factor could have any real value, either positive or negative or zero

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This factor could have any real value between -1 and 1

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This factor could have any real value, either positive or negative, never zero

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This factor could have any positive real value

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