Abstract
This article presents an overview of the classification of Hybrid powertrain systems. At the same time, studying the theoretical basis of the Hybrid dynamical system, the battery model, and a overview of the optimization theory. Applying Matlab - Simulink software conducts simulation, compares and evaluates research results, corresponding to standard test cycles, NEDC, FTP - 75, FTP_HIGHWAY and 15_MODE. The main results of the study are the fuel consumption per driving cycle, the state of charge of battery, as well as the torque and power of the electric motor and the internal combustion engine.