Which of the systems having following transfer functions is stable ?

Correct answer: C. 1/(s2 + 2s + 2)

  • A. 1/(s2 + 2)
  • B. 1/(s2 - 2s + 3)
  • C. 1/(s2 + 2s + 2)
  • D. exp (-20s)/(s2 + 2s - 1)

Explanation

A system is stable when all poles lie in the left half of the s-plane. For option c, s² + 2s + 2 = 0 gives poles -1 ± j, whereas the other choices have poles on or to the right of the imaginary axis.

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