Question

An L.T.I. system is stable if _______

(a) Poles lie on left half of s-plane

(b) The R.O.C. encompasses the imaginary axis

(c) The poles lie on the left half of s-plane and the R.O.C. encompasses the imaginary axis

(d) Cannot be determined

The question was posed to me by my school teacher while I was bunking the class.

Query is from Laplace Transform in chapter Control System Applications of MATLAB

Answer 1

Correct answer is (d) Cannot be determined

Best explanation: An L.T.I. system is stable if and only if both the conditions Poles lie on left half of s-plane and R.O.C. encompasses the imaginary axis are satisfied.