  Let $(A_n)_{n\in\mathbb{N}}$ be a stationary sequence of topical (i.e.,
isotone and additively homogeneous) operators. Let $x(n,x_0)$ be defined by
$x(0,x_0)=x_0$ and $x(n+1,x_0)=A_nx(n,x_0)$. It can model a wide range of
systems including train or queuing networks, job-shop, timed digital circuits
or parallel processing systems. When $(A_n)_{n\in\mathbb{N}}$ has the memory
loss property, $(x(n,x_0))_{n\in\mathbb{N}}$ satisfies a strong law of large
numbers. We show that it also satisfies the CLT if $(A_n)_{n\in \mathbb{N}}$
fulfills the same mixing and integrability assumptions that ensure the CLT for
a sum of real variables in the results by P. Billingsley and I. Ibragimov.
