Question: CP6.7 Consider a system in state variable form: (a) Compute the characteristic equation using the poly function. (b) Compute the roots of the charac teristic

CP6.7 Consider a system in state variable form:

0 1 0 0 x(t)= 0 0 1 x(t)+0u(t), -5-12-8 y(t) =

(a) Compute the characteristic equation using the poly function.

(b) Compute the roots of the charac

teristic equation, and determine whether the system is stable.

(c) Obtain the response plot of y t( ) when

u t( ) is a unit step and when the system has zero ini

tial conditions.

0 1 0 0 x(t)= 0 0 1 x(t)+0u(t), -5-12-8 y(t) = [110]x(t). 1

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