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Which of the following is the correct statement?
A minimum phase network is one whose transfer function has
For a discretetime system to be unstable, all the poles of the ztransfer function should lie
Consider the following characteristic equation of a system:
s^{3} + 2Ks^{2} + (K+ 2) s+ 4 = 0
Which one of the following is correct?
For which of the following values of K, the feedback system shown in the below figure is stable?
What is the range of K for which the open loop transfer function
represents an unstable closed loop system?
What is the range of values of K (K > 0) such that the characteristic equation
s^{3} + 3 (K + 1)s^{2} + (7K + 5)s + (4K + 7) = 0
has roots more negative than s = 1?
A closed loop control system is shown below:
Match List  I (Different values of K) with List  II (Roots of Characteristic Equation) and select the correct answer using the codes given below the lists:
Codes:
Consider the following statements regarding the characteristic equation of a system given by:
s^{4} + 5s^{3} + 25+10 = 0
1. The system is unstable.
2. The system is stable.
3. Number of roots with zero real part  0
4. Number of roots with positive real part  4
5. Number of roots with negative real part = 2
Which of the above statements are correct?
The transfer function of a system is (1 + 2s)/(1  s)
The system is then which one of the following?
Assertion (A): For a system to be stable, the roots of the characteristic equation should not lie in the right half of the splane or on the imaginary axis.
Reason (R): A system is said to be stable if the zeros of the closed loop transfer function are all in the left half of splane.
Assertion (A): Location of the poles of a transfer function in the splane affects greatly the transient response of the system and hence stability.
Reason (R): The poles that are close to the imaginary axis in the lefthalf splane give rise to transient responses that will decay relatively slowly, whereas the poles that are far away from the axis (relative to the dominant poles) correspond to fastdecaying time responses.
Assertion (A): RouthHurwitz criterion doesn’t provides the information about the number of roots that lie on the jωaxis while it tests whether any of the roots of the characteristic equation lie in the righthalf splane or not.
Reason (R): The RouthHurwitz criterion represents a method of determining the location of zeros of a polynomial with constant real coefficients with respect to the left half and right half of the splane, without actually solving for the zeros.
Consider the following statements related to RouthHurwitz criterion of determining the stability of a system:
1. It is applicable if the characteristic equation has real coefficients, complex terms or exponential functions of s.
2. The criterion can be applied to any stability boundaries in complex plane, such as the unit circle in the zplane.
3. The number of changes of signs in the elements of the first column equals the number of roots with negative real parts.
Which of these statements is/are not correct?
The characteristic equation of a linear discretedata control system is given as:
F(z) = z^{3 }+ z^{2} + z + K = 0,
Where K is a real constant.
What is the range of values of K so that the system is stable?
The characteristic equation of a linear timeinvariant discretedata system is given by:
F(z) = a_{n}z^{n} + a_{n  1 }z^{n  1} + .......... + a_{1 }z + a_{0} = 0
where all the coefficients are real.
According to “Jury’s stability criterion”, there are certain necessary conditions which must be satisfied for the above discretedata system to have no roots on or outside the unit circle.
Which of the following necessary condition does not holds true for the discretedata system to have all roots inside the unit circle according to “Jury's stability criterion"?
The first two rows of Routh’s tabulation of a thirdorder system are
Select the correct answer from the following choices.
The characteristic equation of a second order discretedata system is given by:
F(z) = z^{2}+ z+ 0.25 = 0
The above system is
The ztransform of a signal is given by:
Its final value is
The dynamic response of a system is given by the following differential equation:
where c(t) and r(t) are respectively the output and the input and a_{3 }, a_{2 }, a_{1} a_{0}, b_{2}, b_{1} and b_{0} are constants. It is a
The transfer function of a system is:
The system
23 docs285 tests

23 docs285 tests
