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Question: question 2 review of discrete time systems you are given...

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Question 2: Review of Discrete Time Systems You are given a dynamic system described by the following differential equation. The initial conditions are zero a) Write the equation in state space matrix form. b) Given that a 2 r/s and-0.707 1/N2 and there is a sampling rate of T- 0.05 sec. Write out the discrete time state space equations. Show your hand calculations. Assume that there is a zero order hold on the input signal u(t). c) Compute the Z transform of the discrete time state space equations. d) Convert the Z transform back into the time domain and write out the second order difference equation that describes the sampled version of the given system.
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