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I. II. III. Consider the following system described by its state space formulation: 0 -64 Y(t) = CX(t)+DU (1), where C=[0 10] and X(t)

I. II. III. Consider the following system described by its state space formulation: 0 -64 Y(t) = CX(t)+DU

I. II. III. Consider the following system described by its state space formulation: 0 -64 Y(t) = CX(t)+DU (1), where C=[0 10] and X(t) = AX(t) + BU(t), where A= B = 3 D=0 Does this system have any transmission zero(s)? and explain how you check this property; Is this system controllable? and explain how you check this property; Is it possible that we stabilize this system using the full-state feedback control principle? for example, to make the closed-loop system's poles at -1 and -2 points. If possible, what is the design parameter? and what's the value of this design parameter (with respect to the closed- loop system's poles at -1 and -2).

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I Does this system have any transmission zeros To check if a system has any transmission zeroswe can use the following steps Calculate the determinant ... blur-text-image
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