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The polynomial s^4+Ks^3+s^2+s+1=0 the range of K for stability is _____________(a) K>5(b) -10-4(d) K-1>0This question was posed to me in unit test.Query is from Relative Stability Analysis topic in division Stability and Algebraic Criteria of Control Systems

Answer»

Right option is (d) K-1>0

For explanation I would say: Solving using Routh ARRAY we GET K-1>0 and is ALWAYS NEGATIVE for K>1.



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