Control Systems Liapunovs Stability Criterion 1 Online Exam Quiz
Control Systems Liapunovs Stability Criterion 1 GK Quiz. Question and Answers related to Control Systems Liapunovs Stability Criterion 1. MCQ (Multiple Choice Questions with answers about Control Systems Liapunovs Stability Criterion 1
If the system is asymptotically stable irrespective that how close or far it is from the origin then the system is:
Options
A : Asymptotically stable
B : Asymptotically stable in the large
C : Stable
D : Unstable
The direct method of Liapunov is :
Options
A : Concept of energy
B : Relation of stored energy
C : Using the equation of the autonomous systems
D : All of the mentioned
The method of investigating the stability using Liapunov function as the ________________
Options
A : Direct method
B : Indirect method
C : Not determined
D : Always unstable
The stability of non-linear systems:
Options
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
The visual analogy of the Liapunov energy description is:
Options
A : Ellipse
B : Circle
C : Square
D : Rectangle
The results for the energy :
Options
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
The system is asymptotically stable in the large at the origin if :
Options
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
The system is asymptotically stable at the origin if :
Options
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
A system is said to be locally stable if:
Options
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
The idea that the non-negative scalar functions of a system state can also answer the question of stability was given in Liapunov function:
Options
A : True
B : False
C :
D :
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