 
			 
			MCQOPTIONS
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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 | |