A system is characterized by the following state equation and output equation (U: input, X: state vector, y: output) $\dot{x} = \begin{bmatrix} a & b \\ -a & 0 \end{bmatrix}x + \begin{bmatrix} 1 \\ 0 \end{bmatrix}u$ $y = \begin{bmatrix} 1 & 2 \end{bmatrix}x$ What are the values of $a$ and $b$ for which the poles of the transfer function are at $-2 + j3$ and $-2 - j3$ ?

GATE 2026 Electrical Engineering Q52 — Electrical Engineering

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Electrical Engineering · Control Systems - State Space Analysis

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Control Systems - State Space Analysis has appeared in GATE Electrical Engineering 4 times across 3 years (2018, 2025, 2026).

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Control SystemsState SpaceTransfer FunctionPoles