Determine whether all roots of the characteristic equation

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(a) Find a suitable contour Γ_s in the s-plane that can be used to determine whether all roots of the characteristic equation have damping ratios greater than ζ₁,

(b) Find a suitable contour Γ_s in the .v-plane that can be used to determine whether all the roots of the characteristic equation have real parts less than s = -σ₁.

(c) Using the contour of part (b) and Cauchy's theorem, determine whether the following characteristic equation has roots with real parts less than s = -1:

Reference no: EM131127871

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