31. In the formulation or the Routh array, when ever difficulty 1 or difficulty 2 arises, it can be concluded that the system is :
(a) unstable
(b) conditionally stable
(c) marginally stable
(d) stable
32. If all the roots of the characteristic equation have negative real parts, then the system is :
(a) stable
(b) unstable
(c) conditionally stable
(d) marginally stable
33. If the system has non repeated poles on the jω axis, the system is :
(a) stable
(b) unstable
(c) marginally stable
(d) conditionally stable
34. For the application of Routh’s test, all the coefficients of the characteristic equation must be :
(a) real
(b) imaginary
(c) complex
(d) none of these
35. The terms in the first column of the Routh array of characteristic equation of a certain system are 5, 7, 4, 3, -2. The number of roots of the characteristic equation in the right-half of the s-plane is equal to :
(a) 2
(b) 1
(c) 3
(d) none of these
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Stability Theory » Exercise - 128. The number of sign changes in the elements of the first column of the Routh array denotes : (a) the number of zeros of the closed-loop system in the RHP (b) the number of poles of the closed-loop system in the RHP (c) the number of open-loop zeros in RHP (d) the number of open-loop poles in RHP
Stability Theory » Exercise - 136. The characteristic equation of a unity feedback system is given by s3 + s2+ 2s + 2 = 0 (a) The system has one pole in the RH of the s-plane (b) The system has two poles in the RH of the s-plane (c) The system is asymptotically stable (d) The system exhibits oscillatory response