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: (Solved)

1. a sinusoidal oscillation which decays exponentially; the system is therefore stable

2. a sinusoidal oscillation with a time multiplier ; the system is therefore unstable

3. a sinusoidal oscillation which rises exponentially ; the system is therefore unstable

4. a dc term harmonic oscillation the system therefore becomes limiting stable

  • c. a sinusoidal oscillation which rises exponentially ; the system is therefore unstable
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