1. Given a dynamics G with the transfer function: 55 45 +35 G(s) = s'+58 +45 (a) Find an analog computer to implement this dynamics to guarantee internal stability, which contains a feedback loop of the input and internal state. (b) Find another analog computer such that the output and internal state forms a feedback loop inside. (c) Infer the state-state realizations from the circuits of (a) and (b), respectively. (d) Based on the state-space realization in (c), describe how to program the dynamics G into a digital microcontroller. (e) Can the principle of convolution be directly applied to do (d)? Why or why not