GATE EC 2015 Set 2 — Question 56

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MCQ+2 / -0.67MediumSolution of State EquationsState-Space AnalysisControl Systems

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

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The state variable representation of a system is given asx˙=[0101]x;x(0)=[10]\dot{x} = \begin{bmatrix} 0 & 1 \\ 0 & -1 \end{bmatrix} x; \quad x(0) = \begin{bmatrix} 1 \\ 0 \end{bmatrix}y=[01]xy = \begin{bmatrix} 0 & 1 \end{bmatrix} xThe response y(t)y(t) is
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