  We introduce the notion of curved $\mathcal{O}$-operator systems as a
generalization of T. Brzezi\'{n}ski's (curved) Rota-Baxter systems, and then
investigate their relations with (tri)dendriform systems and pre-Lie algebras.
Moreover, we consider the special cases of generalized Rota-Baxter algebras
with respect to associative compatible pairs and then double curved Rota-Baxter
systems.
