Electrical Engineering > GATE 2026 > State Space Transformation
A system is represented in state-space form as follows: (u: input, x: state vector, y: output)
Consider the new state vector z = [[2,1],[−1,0]]x
What is the state-space representation of the system in terms of the new state vector z?
A
ż=[[−1,4],[−1,−2]]z+[4,−1]u, y=[2 3]z
B
ż=[[2,3],[0,3]]z+[3,5]u, y=[2 3]z
C
ż=[[4,9],[−2,−3]]z+[4,−1]u, y=[2 3]z
D
ż=[[2,1],[−4,1]]z+[4,−1]u, y=[4 −1]z

Correct : a

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