Abstract: An application of the method suitable for modelling and control of general discrete event dynamic systems (DEDS) to special kinds of communication systems is presented in this paper. The approach is based on Petri nets (PN) defined in [Peterson 1981] and directed graphs (DG) described e.g. in [Diestel 1997]. It is supported by the previous author’s works, especially [ˇCapkoviˇc 2003]-[ˇCapkoviˇc 1998], [Tzafestas and ˇCapkoviˇc 1997]. Key Words: control synthesis, discrete event dynamic systems (DEDS) Category: H.4.3, I.6.3, I.6.4, G.2.3