This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “Liapunov’s Stability Criterion – II”.

1. The points at which derivatives of all the state variables are zero are:

a) Singular points

b) Nonsingular points

c) Poles

d) Zeros

2. The system if kept in the singular points will continue to lie on these points undisturbed.

a) True

b) False

3. The systems with equation such as dx/dt =F (x) are called:

a) Stable systems

b) Control systems

c) Autonomous systems

d) Unstable control system

4. A system is stable with zero input if:

a) The resulting trajectory tends towards the equilibrium state.

b) If for the bounded input output is also bounded

c) It is a free system

d) It is forced system

5. In non-linear systems forced and free responses are:

a) Related

b) Not related

c) Contemporary

d) None of the mentioned

6. The non-linear system

a) Have one equilibrium state

b) Their behavior determines the qualitative behavior of the s-plane

c) System behavior for small deviations about the equilibrium point may be different from the large deviation

d) Both a and b

7. A Forced system is stable if:

a) The resulting trajectory tends towards the equilibrium state.

b) If for the bounded input output is also bounded

c) It is a free system

d) It is forced system

8. The linear autonomous systems:

a) Have one equilibrium state

b) Their behavior determines the qualitative behavior of the s-plane

c) System behavior for small deviations about the equilibrium point may be different from the large deviation

d) Both a and b

9. The system is stable at origin if for every initial state which is sufficiently close to the origin remains near the origin for all t then the system is :

a) Asymptotically stable

b) Asymptotically stable in the large

c) Stable

d) Unstable

10. If x (t) approaches near the origin as t tends to infinity then the system is :

a) Asymptotically stable

b) Asymptotically stable in the large

c) Stable

d) Unstable