Question: Please answer it to the point in one hour , doo not attach anything irralevant A process, H(s)=Y(s)/U(s), is described by the following differential equation:

Please answer it to the point in one hour , doo not attach anything irralevant

A process, H(s)=Y(s)/U(s), is described by the following differential equation: dtdy(t)+3y(t)=u(t) This process is part of a larger system including a feedback loop as shown below: a) Find the transfer function of the overall system K(s)=Y(s)/Ysp(s) and the time response to an impulse applied on Ysp(s). Sketch the response y(t) of the system in the time domain. [10 marks] b) Is the overall system K(s) stable? Why? [10 marks]

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