Features of the Decomposition of Nonlinear Processes and Systems Within the Framework of the System Approach

The article describes a method for modeling a technological process, which can be represented as a non-linear system. The proposed method allows building a hierarchical structure of models of nonlinear systems or processes in accordance with the described principles of decomposition and the principles of the system approach. The resulting hierarchical structures of the models make it possible to fully describe the dynamics of the technological process as a whole. The resulting hierarchical model makes it possible to single out input, output, control and auxiliary sub-processes, which makes it possible to increase the efficiency of the technological process as a whole, taking into account its purpose and internal relationships. A hierarchical model can be obtained with varying degrees of detail, which is determined by the purpose and objectives of the process modeling. The article also provides a proof of the finiteness and countability of the levels and nodes of the hierarchical structure of the process.