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A continuous time LTI system for which the imput x(t) and output y(t) are related by the differential equation :

written 5.7 years ago by | modified 2.5 years ago by |

$ \frac{d^{2} y(t)}{d t^{2}}-\frac{d y(t)}{d t}-2 y(t)=x(t) $ ;

i) Determine H(s) as a ratio of two polynomials in s. Sketch the pole zero pattern of H(s).

ii) Determine h(t) for each of the following cases :

The system is stable.

The system is casual.

The system is neither stable now casual.

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