Question: 3. Consider a linear, time invariant system, y(t)=H[u(t)]. The output of the system and the input of the system satisfy the following relationship. ty +

3. Consider a linear, time invariant system, y(t)=H[u(t)]. The output of the system and the input of the system satisfy the following relationship. "ty + 4 dy + 3? = ?(?) d?2 d? (1) Let x (t)= y(t), x (t )= y (t). Write down state the space equation as following, determine matrices A, B, C and D x(t) = Ax + Bu y(t ) = Cx+Du (2) Apply Laplace transform on both side of the differential equation defining the linear system, and determine the transfer function of the system

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