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The Routh-Hurwitz criterion cannot be applied when the characteristic equation of the system contains any coefficients which is :

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The Routh-Hurwitz criterion cannot be applied when the characteristic equation of the system contains any coefficients which is :

(a) Negative real and exponential function

(b) Negative real, both exponential and sinusoidal function of s

(c) Both exponential and sinusoidal function of s

(d) Complex, both exponential and sinusoidal function of s

I have been asked this question in homework.

My query is from Stability Analysis topic in section Digital Control Systems of Control Systems

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Right answer is (b) Negative real, both exponential and sinusoidal function of s

The best explanation: The Routh-Hurwitz criterion cannot be applied when the characteristic equation of the system contains any coefficients which is negative real, both exponential and sinusoidal function of s.

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