Question

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

This question was posed to me in quiz.

The question is from Parameter Optimization in portion Optimal Control Systems of Control Systems

Answer 1

The correct option is (a) Not necessarily stable

To explain: If the input is bounded and output is also bounded then the system is always stable and step input is bounded and the output is always under certain li its then the system is stable.