A system with the polynomial s^4 + 5s^3 + 3s^2 + 6s + 5 = 0 is:

A)

Unstable

B)

Stable

C)

In equilibrium

D)

Marginally stable

Correct Answer : Option (A) : Unstable

Explanation : The given characteristic equation is: s^4 + 5s^3 + 3s^2 + 6s + 5 = 0. We first need to find the roots by creating the Routh's array table.

Routh's array table is shown below:

In the first column of the above table, we have two sign changes. It means that two roots are in the RHS plane. Hence, the system is unstable.

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A)

is +90°

B)

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C)

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D)

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The response to sinusoidal excitation can be found by

A)

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B)

setting s = -jω in the network function

C)

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D)

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