A formal description of the model for the energy resource distribution management system in local networks as a spatio-temporal system is constructed. Coordinate systems are used to consider the operating parameters of energy resource distribution and the state of the process over time. Generalized vector state variables of the process are applied, including state variables, disturbance factors, and control actions aimed at mitigating disturbances. The object model includes a system of vector bases for determining the input, intermediate, and output parameters of energy resource distribution, as well as matrices that link the process variables during transitions from one basis to another. The model describes the dynamics of the process in integral form, depending on the characteristics of the process stages, disturbance factors, and control. The control algorithm is presented mathematically, including state criteria depending on the operating parameters and levels of disturbance factors. A mathematical model in relative terms is considered, which allows analyzing the process taking into account possible anomalies and disturbances. The model envisages the use of automated information technologies and the principle of disturbance-based control.