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The characteristic equation of a system is given ass3+25s2+10s+50=0. What is the number of the roots in the right half s-plane and the imaginary axis respectively?(a) 1,1(b) 0,0(c) 2,1(d) 1,2The question was posed to me in unit test.Origin of the question is Routh-Hurwitz Stability Criterion topic in chapter Stability and Algebraic Criteria of Control Systems

Answer»

The correct option is (B) 0,0

To elaborate: The CHARACTERISTIC equation has no SIGN changes so number of roots on the right HALF of s plane is zero.



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