The correct answer is: B. the value of the output never exceeds the value of the input during the transient period.
In an overdamped system, the output response is always less than the input response. This is because the system has too much damping, which causes the output to decay more slowly than the input. As a result, the output never reaches the same level as the input.
Option A is incorrect because the output of an overdamped system never exceeds the input. Option C is incorrect because the output of an overdamped system does stabilize, albeit more slowly than in an underdamped or critically damped system. Option D is incorrect because only option B is correct. Option E is incorrect because option B is correct.