Method of recurrent and $Z$-recurrent control of complex system functioning

The method is developed of constructing the rules of controlling the interactions between complex system functioning processes. Processes are considered as sequences of cause-and-effect related events, specified using their properties indicators values. The structure of control rules is presented on the basis of the recurrent and first introduced $Z$-recurrent definitions of sequences in the form of functional dependencies of the event properties indicators values. It is noted that the models developed of the events, processes and complex system functioning are applicable on the whole when solving the problems of control, monitoring, and diagnosis.