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Question

A signal flow graph of a system is given below

The set of equations that correspond to this signal flow graph is

A
ddtx1x2x3=βγ0γα0αβ0x1x2x3+000100(u1u2)
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B
ddtx1x2x3=0αγ0αγ0ββx1x2x3+000110(u1u2)
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C
ddtx1x2x3=αβ0βγ0αγ0x1x2x3+100100(u1u2)
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D
ddtx1x2x3=β0βγ0αγ0αx1x2x3+010010(u1u2)
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Solution

The correct option is D ddtx1x2x3=β0βγ0αγ0αx1x2x3+010010(u1u2)

By solving this we get
ddtx1x2x3=β0βγ0αγ0αx1x2x3+010010(u1u2)

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