GATE EE 2016 Set 1 — Question 41

NAT+2 / -0MediumSolution of State EquationsState-Space AnalysisControl Systems

Control Systems → State-Space Analysis → Solution of State Equations

Last updated 5 September 2026

Question

\dot{\mathbf{x}}(t) = \begin{bmatrix} 1 & 0 \\ 0 & 2 \end{bmatrix} \mathbf{x}(t), \quad y(t) = \mathbf{c}^T \mathbf{x}(t), \quad \mathbf{c} = \begin{bmatrix} 1 \\ 1 \end{bmatrix} \text{ and } \mathbf{x}(0) = \begin{bmatrix} 1 \\ 1 \end{bmatrix}

y(t)

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y(t)

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