Assertion (A): The stability of the system is assured if the ROC includes the unit circle in z-plane.Reason (R): For a causal stable system all the poles should be outside the unit circle in the z-plane.(a) Both A and R are true and R is the correct explanation of A(b) Both A and R are true bit R is NOT the correct explanation of A(c) A is true but R is false(d) A is false but R is trueI have been asked this question during an internship interview.The doubt is from Difference Equations topic in division Digital Control Systems of Control Systems

Assertion (A): The stability of the system is assured if the ROC inclu

1.	Assertion (A): The stability of the system is assured if the ROC includes the unit circle in z-plane.Reason (R): For a causal stable system all the poles should be outside the unit circle in the z-plane.(a) Both A and R are true and R is the correct explanation of A(b) Both A and R are true bit R is NOT the correct explanation of A(c) A is true but R is false(d) A is false but R is trueI have been asked this question during an internship interview.The doubt is from Difference Equations topic in division Digital Control Systems of Control Systems
Answer» Correct ANSWER is (c) A is TRUE but R is false For explanation I would say: A causal system LTI system is STABLE if and only if all of poles of H(Z) lie inside the UNIT circle.

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