Use MATLAB to plot the step response of 43. [Section:
Chapter 4, Problem 43(choose chapter or problem)
Solve for y(t) for the following system represented in state space, where u(t) is the unit step. Use the Laplace transform approach to solve the state equation. [Section: 4.10]
\(\begin{aligned} & \dot{\mathbf{x}}=\left[\begin{array}{rrr} -3 & 1 & 0 \\ 0 & -6 & 1 \\ 0 & 0 & -5 \end{array}\right] \mathbf{x}+\left[\begin{array}{l} 0 \\ 1 \\ 1 \end{array}\right] u(t) \\ & y=\left[\begin{array}{lll} 0 & 1 & 1 \end{array}\right] \mathbf{x} ; \mathbf{x}(0)=\left[\begin{array}{l} 0 \\ 0 \\ 0 \end{array}\right] \end{aligned}\)
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