Explore topic-wise MCQs in Control Systems.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Control Systems knowledge and support exam preparation. Choose a topic below to get started.

1.

The method of investigating the stability using Liapunov function as the ________________

A. Direct method
B. Indirect method
C. Not determined
D. Always unstable
Answer» B. Indirect method
Discussion
2.

The idea that the non-negative scalar functions of a system state can also answer the question of stability was given in Liapunov function:

A. True
B. False
Answer» B. False
Discussion
3.

The visual analogy of the Liapunov energy description is:

A. Ellipse
B. Circle
C. Square
D. Rectangle
Answer» B. Circle
Discussion
4.

The results for the energy :

A. Energy of the system is non-negative
B. Energy of the system decreases as t increases
C. Energy is non-negative and decreases as t increases
D. Energy is negative
Answer» D. Energy is negative
Discussion
5.

The direct method of Liapunov is :

A. Concept of energy
B. Relation of stored energy
C. Using the equation of the autonomous systems
D. All of the mentioned
Answer» E.
Discussion
6.

The stability of non-linear systems:

A. Disturbed steady state coming back to its equilibrium state
B. Non-linear systems to be in closed trajectory
C. In limit cycles that is oscillations of the systems
D. All of the mentioned
Answer» E.
Discussion
7.

The system is asymptotically stable in the large at the origin if :

A. It is stable
B. There exist a real number >0 such that || x (t0) || <=r
C. Every initial state x (t0) results in x (t) tends to zero as t tends to infinity
D. Both a and c
Answer» E.
Discussion
8.

The system is asymptotically stable at the origin if :

A. It is stable
B. There exist a real number >0 such that || x (t0) || <=r
C. Every initial state x (t0) results in x (t) tends to zero as t tends to infinity
D. It is unstable
Answer» E.
Discussion
9.

A system is said to be locally stable if:

A. The region S (e) is small
B. There exist a real number >0 such that || x (t0) || <=r
C. Every initial state x (t0) results in x (t) tends to zero as t tends to infinity
D. They are unstable
E. is smallb) There exist a real number >0 such that || x (t0) || <=rc) Every initial state x (t0) results in x (t) tends to zero as t tends to infinityd) They are unstable
Answer» B. There exist a real number >0 such that || x (t0) || <=r
Discussion
10.

If the system is asymptotically stable irrespective that how close or far it is from the origin then the system is:

A. Asymptotically stable
B. Asymptotically stable in the large
C. Stable
D. Unstable
Answer» C. Stable
Discussion