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labor_mathematische_anwendu…/MATLAB/Uebungen/02 Symbolic Math Toolbox/Aufgabe 3/Aufgabe3.m

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Matlab

syms t s;
sigma = heaviside(t);
SIGMA(s) = laplace(sigma,s);
syms s D w_0 w_e;
assume(w_0>0);
assumeAlso(0<D<1);
G(s) = 1/((1 / w_0^2)*s^2+(2*D/w_0)*s+1);
H(s) = SIGMA * G;
h(t) = ilaplace(H, t);
w_e = w_0*(1 - D^2)^(1/2);
disp(simplify(h,"Steps",100));