None of the poles of a linear control system lie in the

None of the poles of a linear control system lie in the right half of s-plane. For a bounded input, the output of this system

1. is always bounded
2. could be unbounded
3. always tends to zero
4. none of these

For a linear control system with no poles in R.H.S. of s-plane including roots on jω axis with bounded input, the output may be unbounded.