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_____________?
Correct answer: A. not necessarily stable
- A. not necessarily stable
- B. stable
- C. unstable
- D. always unstable
- E. any of the above
Explanation
A bounded response to one step input does not by itself prove overall stability, because other inputs or unobserved system modes may still produce unbounded behavior. Hence the system is not necessarily stable.
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