# Question: a1 2 7 0 1 2 0 0 2 btranspose1...

###### Question details

A=(-1 2 -7; 0 1 2; 0 0 2)

B=Transpose(1 4 1)

C=(1 1 0)

d/dt X = Ax + Bu

y = Cx

Assume x(0) = 0.

It is possible to find an input function u(.) such that y(t) = 0 for t<0 and y(t) = -exp(t) + exp(2t) for t >=0?

If yes, compute u(.)

if not explain why?