Given the following state-space: 5 -4 1 = -3 2 0 x + -3 u(t) 5...

   

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Given the following state-space: 5 -4 1 = -3 2 0 x + -3 u(t) 5 7 -9 2 y=[2 8 -1], x(0): 0 1.1. Find the transfer function and poles of the above system. 1.2. Find the state-transition matrix of the system. 1.3. Draw the state response x(t) of the system for each variable up to a final of 100 seconds given a control input u(t)=1. 1.4. Compare the step response obtained from the transfer function and the value of y(t) obtained from the state response. Given the following state-space: 5 -4 1 = -3 2 0 x + -3 u(t) 5 7 -9 2 y=[2 8 -1], x(0): 0 1.1. Find the transfer function and poles of the above system. 1.2. Find the state-transition matrix of the system. 1.3. Draw the state response x(t) of the system for each variable up to a final of 100 seconds given a control input u(t)=1. 1.4. Compare the step response obtained from the transfer function and the value of y(t) obtained from the state response.