Consider the system of Figure.(a) Write the state equations, with the output of the integr...

Consider the system of Figure.

(a) Write the state equations, with the output of the integrator as the state.

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(b) Find the state transition matrix.

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(c) Find the system output for u(t) = 0 and the initial state given by x(0) = 2.

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(d) Find the system unit step response, with x(0) = 0, using (8.28) and y(t) = Cx (t) + Du(t).

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(e) Find the system response, with the initial conditions given in Part (c) and the input in Part (d).

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(f) Use SIMULINK to verify the results of Part (e).