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found starting from the following kind of differential system for a transfer function which book teaching how to analyze this kind of differential system

must design follow property a^2 + sqrt(1-a^2)^2 = 1 or det(A) = 0, or can it be further advanced?

which book teaching this kind of differential system?


Maple code
sys2 := DiffEquation([diff(x1(t), t) = a*x1(t)+a*u1(t), y1(t) = sqrt(1-a^2)*x1(t)+sqrt(1-a^2)*u1(t)], inputvariable = [u1(t)], outputvariable = [y1(t), x1(t)]);
expand(combine(k:-tf[1,1])) assuming a>0;
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