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(Solved): (10 points) The system matrix (A), input matrix (B), output matrix (C) and the input-to-output feed ...



(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]


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