(10 points) The system matrix (A), input matrix (B), output matrix (C) and the input-to-output feed through matrix (D) of a linear system are given as
A=[[-3,0],[0,-4]],B=[[1],[1]],C=[[1,1]],D=[0]
Determine the output response
y(t)
for a unit step at
t=0
, i.e.,
u(t)=1(t)
with initial value of the state vector
x(0)=[[1],[1]]
.
A=[[-3,0],[0,-4]],B=[[1],[1]],C=[[1,1]],D=[0]