This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “Concept of Stability”.

1. A linear time invariant system is stable if :

a) System in excited by the bounded input, the output is also bounded

b) In the absence of input output tends zero

c) Both a and b

d) System in excited by the bounded input, the output is not bounded

2. Asymptotic stability is concerned with:

a) A system under influence of input

b) A system not under influence of input

c) A system under influence of output

d) A system not under influence of output

3. Stability of a system implies that :

a) Small changes in the system input does not result in large change in system output

b) Small changes in the system parameters does not result in large change in system output

c) Small changes in the initial conditions does not result in large change in system output

d) All of the above mentioned

4. Bounded input and Bounded output stability notion concerns with :

a) A system under influence of input

b) A system not under influence of input

c) A system under influence of output

d) A system not under influence of output

5. Linear mathematical model applies to :

a) Linear systems

b) Stable systems

c) Unstable systems

d) Non-linear systems

6. If the impulse response in absolutely integrable then the system is :

a) Absolutely stable

b) Unstable

c) Linear

d) Stable

7. If a system is given unbounded input then the system is:

a) Stable

b) Unstable

c) Not defined

d) Linear

8. For non-linear systems stability cannot be determined due to:

a) Possible existence of multiple equilibrium states

b) No correspondence between bounded input and bounded output stability and asymptotic stability

c) Output may be bounded for the particular bounded input but may not be bounded for the bounded inputs

d) All of the mentioned

9. The roots of the transfer function do not have any effect on the stability of the system.

a) True

b) False

10. Roots on the imaginary axis makes the system :

a) Stable

b) Unstable

c) Marginally stable

d) Linear

11. If root of the characteristic equation has positive real part the system is :

a) Stable

b) Unstable

c) Marginally stable

d) Linear

12. Roots with higher multiplicity on the imaginary axis makes the system :

a) Absolutely stable

b) Unstable

c) Linear

d) Stable

13. If the roots of the have negative real parts then the response is ____________

a) Stable

b) Unstable

c) Marginally stable

d) Bounded

14. A linear system can be classified as :

a) Absolutely stable

b) Conditionally stable

c) Unstable

d) All of the mentioned

15. ___________ is a quantitative measure of how fast the transients die out in the system.

a) Absolutely stable

b) Conditionally stable

c) Unstable

d) Relative Stability