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This section includes 17 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. |
For non-linear systems the equation for damping factor as in linear system is called__________ |
A. | Krasovskii’s equation |
B. | Vander Pol’s equation |
C. | Constant method |
D. | Non-variable gradient equation |
Answer» C. Constant method | |
2. |
Liapunov stability analysis is different from the classical theories approach of stability. |
A. | True |
B. | False |
Answer» B. False | |
3. |
The method which provides considerable flexibility in finding the Liapunov’s function is: |
A. | Krasovskii’s method |
B. | Variable gradient method |
C. | Constant method |
D. | Non-variable gradient method |
Answer» C. Constant method | |
4. |
It is difficult to form Liapunov’s function for: |
A. | Linear system |
B. | Non-linear |
C. | Time variant systems |
D. | Time –invariant systems |
Answer» C. Time variant systems | |
5. |
Liapunov’s stability for non-linear system is same as the Routh Hurwitz criteria for the linear system. |
A. | True |
B. | False |
Answer» B. False | |
6. |
Liapunov’s stability analysis is for the : |
A. | LTI system |
B. | Time variant system |
C. | Non-linear system |
D. | Linear system |
Answer» D. Linear system | |
7. |
If the Liapunov’s function cannot be found then the system is: |
A. | Stable |
B. | Unstable |
C. | Conditionally stable |
D. | Marginally stable |
Answer» C. Conditionally stable | |
8. |
LIAPUNOV_STABILITY_ANALYSIS_IS_DIFFERENT_FROM_THE_CLASSICAL_THEORIES_APPROACH_OF_STABILITY.?$ |
A. | True |
B. | False |
Answer» B. False | |
9. |
For_non-linear_systems_the_equation_for_damping_factor_as_in_linear_system_is_called__________$ |
A. | Krasovskii’s equation |
B. | Vander Pol’s equation |
C. | Constant method |
D. | Non-variable gradient equation |
Answer» C. Constant method | |
10. |
The method which provides considerable flexibility in finding the Liapunov’s function is?# |
A. | Krasovskii’s method |
B. | Variable gradient method |
C. | Constant method |
D. | Non-variable gradient method |
Answer» C. Constant method | |
11. |
If the V is positive definite, for the system to be asymptotically stable, Q should be negative definite. |
A. | Krasovskii’s method |
B. | Variable gradient method |
C. | Constant method |
D. | Non-variable gradient method |
Answer» B. Variable gradient method | |
12. |
It is difficult to form Liapunov’s function for:$ |
A. | Linear system |
B. | Non-linear |
C. | Time variant systems |
D. | Time –invariant systems |
Answer» C. Time variant systems | |
13. |
Conditions of ___________ are necessary and sufficient condition for the asymptotic stability of the system. |
A. | Linear system |
B. | Krasovskii’s method |
C. | positive definiteness |
D. | Variable gradient method |
Answer» D. Variable gradient method | |
14. |
Liapunov’s stability for non-linear system is same as the Routh Hurwitz criteria for the linear system.$ |
A. | True |
B. | False |
Answer» B. False | |
15. |
The system is unstable for: |
A. | W (x)>0; x not equal to zero |
B. | W (0) =0 |
C. | W (x) has continuous partial derivative with respect to all components of x |
D. | All of the mentioned |
Answer» E. | |
16. |
Liapunov’s stability analysis is for the :$ |
A. | LTI system |
B. | Time variant system |
C. | Non-linear system |
D. | Linear system |
Answer» D. Linear system | |
17. |
If the Liapunov’s function cannot be found then the system is: |
A. | Stable |
B. | Unstable |
C. | Conditionally stable |
D. | Marginally stable |
Answer» C. Conditionally stable | |