Given
G(s)=\frac{-8s+6}{2s^{3}+9s^{2}+13s+6}
Sampling times of 0.01, and simulation runs for 10 seconds
syms s t
Ts = 0.01;
Tmax = 10;
Gs = (-8*s + 6)/(2*s^3 + 9*s^2 + 13*s + 8)
Transfer function in s
t = [0-2*Ts : Ts : Tmax];
Find the actual solution using the inverse laplace transform syms ycont
ycont = ilaplace(Gs,t)