Question

Which of the following is not true for a continuous-time causal and stable LTI system?

• A. All poles lie on the left half of s-plane
• B. Zeros can lie anywhere in s-plane
• C. All poles lie within \( |s|=1 \)
• D. Roots of characteristic eqn lie left of jω-axis

Hint:

For CT LTI stability: poles must lie in the left half of s-plane.

Answer 1

The Correct Option is C

The condition \( |s|<1 \) is for discrete-time stability (inside unit circle). For continuous-time: poles must lie in the left half-plane (Re(s)<0), not necessarily within a circle.