Question: Consider the circuit in Fig. q.3 with an input voltage source u(t) and an output current y(t). (a) Write the state and output equations

Consider the circuit in Fig. q.3 with an input voltage source u(t) and an output current y(t). (a) Write the state and output equations for the system. (b) Find the conditions relating R, R, C, and L that render the system uncontrollable. (c) Find the conditions relating R, R. C. and L that render the system unobservable. (d) Find the transfer function of the system and discuss the reason for conditions derived in part (b) and (c) (that is, when the system is uncontrollable or unobservable). (e) (bonus) Interpret the conditions found in part (b) and (c) physically. y (1) u (1) z N 152 R1 L

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