Physics · Control Systems
According to the Cauchy residue theorem used in the Nyquist stability criterion, what is the correct relation for the contour integral of the logarithmic derivative of the characteristic equation function F(s), where Z is the number of zeros and P is the number of poles enclosed in the right-half s-plane?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 112πj ∮ F'(s)F(s) ds = Z
- 212πj ∮ F'(s)F(s) ds = Z - P✓
- 312πj ∮ F'(s)F(s) ds = P - Z
- 412πj ∮ F'(s)F(s) ds = Z + P
Correct answer
12πj ∮ F'(s)F(s) ds = Z - P
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