# Stability Theory – 1 – 7

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

Explanation
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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

Explanation
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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

Explanation
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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

Explanation
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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