# Control Systems-Routh-Hurwitz and Nyquist Stability Criteria [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 1 - 4 of 16

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## Question 1

Appeared in Year: 2018

### Question MCQ▾

Consider the following statements with respect to the characteristic polynomial defined as

The system is stable for

ii. The system is unstable for

iii. The system is unstable for

iv. The system is stable for

Which of the above statements are correct?

### Choices

Choice (4)Response

a.

(i) and (iv)

b.

(i) and (iii)

c.

(ii) and (iv)

d.

(ii) and (iii)

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## Question 2

Appeared in Year: 2014

### Assertion(Ꭺ)

Routh Hurwitz criterion gives both absolute as well as relative stability using characteristic equation. (June)

### Reason(Ꭱ)

For a system to be stable all roots of characteristic equation must lie in left half of s-plane.

### Choices

Choice (4)Response

a.

Ꭺ is true but Ꭱ is false

b.

Ꭺ is false but Ꭱ is true

c.

Both Ꭺ and Ꭱ are true but Ꭱ is NOT the correct explanation of Ꭺ

d.

Both Ꭺ and Ꭱ are true and Ꭱ is the correct explanation of Ꭺ

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## Question 3

Appeared in Year: 2013

### Question MCQ▾

Routh՚s array for a system is given below: (September)

 1 3 5 1 2 9 1 5 -3 5

The system is

### Choices

Choice (4)Response

a.

Conditionally stable

b.

Stable

c.

Unstable

d.

Marginally stable

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## Question 4

Appeared in Year: 2014

### Question MCQ▾

What is the relation between k and T such that a unity feedback control system whose open loop transfer function below is stable? (June)

### Choices

Choice (4)Response

a.

b.

c.

d.

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