GATE 2022 IN – Question 30
A system has transfer function $(s+1)(s+3)/[(s+5)(s+7)(s+9)]$. Its state-space representation requires at least ______ state variables (integer).
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Correct answer: 3 to 3
Explanation
The transfer function has three denominator poles and no numerator cancellation at −5,−7,−9. Its minimal realization therefore has order three, requiring **3 state variables**.