A system such as a “System-on-Chip” includes an interconnection network, a set of initiator modules for transmitting data towards the interconnection network and at least one communication arbiter for deciding, as a function of a set of configuration values, which transmissions of the initiator modules have access to the interconnection network. At least one configuration value is associated with each initiator module. A control device coupled to at least one of the initiator modules detects a communication status associated with the transmissions of the coupled initiator and generates a communication status signal whose value is representative of such status, determines a filtered value representative of a series of the values of the communication status signal, and selectively varies one of the configuration values as a function of the filtered value.