The characteristic polynomial of system is (𝑠) = 2𝑠5 + 𝑠4 + 4𝑠3 + 2𝑠2 + 2𝑠 + 1 . The system isSelect one:a. marginally stableb. stablec. unstabled. oscillatory
Question
The characteristic polynomial of system is (𝑠) = 2𝑠5 + 𝑠4 + 4𝑠3 + 2𝑠2 + 2𝑠 + 1 . The system isSelect one:a. marginally stableb. stablec. unstabled. oscillatory
Solution
To determine the stability of the system, we need to analyze the characteristic polynomial. The characteristic polynomial given is 2𝑠^5 + 𝑠^4 + 4𝑠^3 + 2𝑠^2 + 2𝑠 + 1.
To determine the stability of the system, we can look at the coefficients of the polynomial. In this case, all the coefficients are positive, which indicates that all the poles of the system have positive real parts.
Since all the poles have positive real parts, the system is unstable. Therefore, the correct answer is c. unstable.
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