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Q. A system has a complex conjugate root pair of multiplicity two or more in its characteristic equation. The impulse response of the system will be:

  • (A) a sinusoidal oscillation which decays exponentially; the system is therefore stable
  • (B) a sinusoidal oscillation with a time multiplier ; the system is therefore unstable
  • (C) a sinusoidal oscillation which rises exponentially ; the system is therefore unstable
  • (D) a dc term harmonic oscillation the system therefore becomes limiting stable
Explanation by: Admin
poles are the roots of the denominator of the transfer function and on imaginary axis makes the system stable but multiple poles makes the system unstable.

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