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//Caption:transfer_function_using_mason's_gain_formula
// example 4.4.7
//page 70
syms G1 G2 G3 H1;
// forward path denoted by P1,P2 and so on and loop by L1,L2 and so on
//path factor by D1,D2 and so on and graph determinant by D
P1=G1*G3*G4;
P2=G1*(-G2);
L1=G3*G4*(-1);
L2=G1*G3*H1*(-1);
L3=G1*G3*H1*(-1);
L4=G1*(-G2)*(-1)*G3*H1*(-1);
L5=G1*(-G2)*(-1)*G3*H1*(-1);
L4=simple(L4);
L5=simple(L5);
D1=1;
D2=1;
D=1-(L1+L2+L3+L4+L5);
D=simple(D)
Y=(P1*D1+P2*D2)/D;
Y=simple(Y);
disp(Y,"C(s)/R(s)=")
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