Electrical Engineering > GATE 2026 > State Space Analysis
A system is characterized by the following state equation and output equation (u: input, x: state vector, y: output)
ẋ = [[a, b],[−a, 0]]x + [1,0]u
y = [1 2]x
What are the values of a and b for which the poles of the transfer function are at −2 + j3 and −2 − j3?
A
a = 4, b = 3.25
B
a = −4, b = 3.25
C
a = 4, b = −3.25
D
a = −4, b = −3.25

Correct : c

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