- Find the stability of the system by Routh’s criterion. The characteristic equation of the system is
*s*^{4}+ 6*s*^{3}+ 26*s*^{2}+ 56*s*+ 82 = 0[

*Ans*.: Stable] - If the characteristic equation of the system is
*s*^{3−}− 4*s*^{2}+*s*+ 10 = 0, find the stability of the system by Routh’s criterion.[

*Ans*.: Unstable] - If the characteristic equation of the system is
*s*^{6}+ 4*s*^{5}+ 3*s*^{4}−16*s*^{2}− 64*s*− 48 = 0, find the stability of the system by Routh’s criterion. Also find the number of roots of this equation with positive real part, zero real part and negative real part.[

*Ans.:*Unstable, Roots with positiveReal part is one, Roots with negativeReal part are three, Roots with zeroReal part are two] - Determine range of values of
*K*, marginal value of*K*and frequency ...

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