MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
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_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 | |
| 2. |
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 | |
| 3. |
The visual analogy of the Liapunov energy description is? |
| A. | Ellipse |
| B. | Circle |
| C. | Square |
| D. | Rectangle |
| Answer» B. Circle | |
| 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 | |
| 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. | |
| 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. | |
| 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. | |
| 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. | |
| 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 |
| Answer» B. There exist a real number >0 such that || x (t0) || <=r | |
| 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 | |