The following article presents the application of the Max-Plus Linear System (MPLS) method in the synthesis of different IT process control structures, taking place in the systems belonging to the class of Discrete Event Systems (DES). Modelling and analysis of these systems are based on the state equations, expressed in MPLS categories and classical principles of control theory, adapted for them. MPLS is based on max-plus algebra formalism and is supported with graphical representation in the form of Timed Event Graph (TEG), which is the special case of Timed Petri Nets (TPN). The article contains an overview of the theoretical work on discrete control processes, with a particular focus on the synthesis of control signals in the open control to obtain the desired output system. A practical example has been used for distributed computational process and data transmission for the system controlling selected technological process. Numerical results are presented.

The following article presents the application of the Max-Plus Linear System (MPLS) method in the synthesis of different IT process control structures, taking place in the systems belonging to the class of Discrete Event Systems (DES). Modelling and analysis of these systems are based on the state equations, expressed in MPLS categories and classical principles of control theory, adapted for them. MPLS is based on max-plus algebra formalism and is supported with graphical representation in the form of Timed Event Graph (TEG), which is the special case of Timed Petri Nets (TPN). The article contains an overview of the theoretical work on discrete control processes, with a particular focus on the synthesis of control signals in the open control to obtain the desired output system. A practical example has been used for distributed computational process and data transmission for the system controlling selected technological process. Numerical results are presented.