Question

29. State Space(SS)Use Laplace transforms to solve the following stage-space equation for y(t)when the input u(t) is a unit step. [Section:4.10] \dot{\mathbf{x}}=\left[\begin{array}{cc} -5 & 0 \\ -1 & -2 \end{array}\right]

\mathbf{x}+\left[\begin{array}{l} 3 \\ 1 \end{array}\right] u(t) y=\left[\begin{array}{ll} 1 & 0 \end{array}\right] \mathbf{x} ; \mathbf{x}(0)=\left[\begin{array}{l} 1 \\ 0 \end{array}\right]

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