Assertion (A): For the rational transfer function H(z) to be causal, stable and causally invertible, both the zeroes and the poles should lie within the unit circle in the z-plane.

Reason (R): For a rational system, ROC is bounded by poles

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

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

Explore topic-wise MCQs in Control Systems Questions and Answers.

This section includes 2 Mcqs, each offering curated multiple-choice questions to sharpen your Control Systems Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.	Assertion (A): For the rational transfer function H(z) to be causal, stable and causally invertible, both the zeroes and the poles should lie within the unit circle in the z-plane.
A.	Reason (R): For a rational system, ROC is bounded by poles
B.	a)Both A and R are true and R is the correct explanation of A
C.	b)Both A and R are true bit R is NOT the correct explanation of A
D.	c)A is true but R is false
E.	d)A is false but R is true
Answer» C. b)Both A and R are true bit R is NOT the correct explanation of A

Discussion

2.	Assertion (A): The stability of the system is assured if the ROC includes the unit circle in z-plane.
A.	Reason (R): For a causal stable system all the poles should be outside the unit circle in the z-plane.
B.	a)Both A and R are true and R is the correct explanation of A
C.	b)Both A and R are true bit R is NOT the correct explanation of A
D.	c)A is true but R is false
E.	d)A is false but R is true
Answer» D. c)A is true but R is false

Discussion