If a step function is applied to the input of a system and the output remains below a certain level for all the time, the system is
A)not necessarily stable
B)stable
C)unstable
D)always unstable

Question

Quizplus · Accepted Answer

A step function input leading to an output that remains bounded (below a certain level) does not necessarily imply stability in the strict sense, as stability criteria depend on the system's response to all possible inputs, not just a step input. However, in many practical contexts, a bounded response to a step input is a sign of some form of stability, but it does not rule out the possibility of instability under different conditions or inputs.

If a Step Function Is Applied to the Input of a System