This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “Stability of Nonlinear System-1″.

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) None of the mentioned

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) Small changes in the initial conditions result in large change in system output

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) All of the mentioned

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

a) Absolutely stable

b) Unstable

c) Linear

d) None of the mentioned

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 with higher multiplicity on the imaginary axis makes the system :

a) Absolutely stable

b) Unstable

c) Linear

d) None of the mentioned