Final answer:
A servomechanism system ideally possesses high stability, a characteristic of a critically damped system that allows it to return to and maintain equilibrium rapidly, without oscillating about the equilibrium point or exhibiting large hysteresis.
Step-by-step explanation:
In a servomechanism system, one of the desired characteristics is a high degree of stability. When discussing the dynamic response characteristics of such systems, it is often necessary to understand the behavior in terms of damping. A critically damped system is often desired because it returns to equilibrium rapidly and remains at equilibrium, which suggests high stability. An overdamped system, characterized by a slow response time, moves more slowly toward equilibrium compared to a critically damped system. An underdamped system moves quickly to equilibrium but oscillates about the equilibrium point. Hysteresis in such systems is unwanted because it can lead to a lag in response to control inputs, potentially resulting in inaccuracies or instability. Therefore, large hysteresis is not a characteristic of a well-designed servomechanism system. Instead, reducing hysteresis to improve precision and responsiveness is typically desirable.