Popelo, O., Tulchynska, S., Marhasova, V., Garafonova, O., & Kharchenko, Y.
Within the study, it is proposed to determine the impact of public administration of regional development in the inclusive economy formation using the L. Pontryagin maximum principle. To assess the impact of public administration on regional development in the formation of inclusive economy, it is proposed to use the L. Pontryagin maximum principle, as this approach allows to optimize the target function, and at the same time to find optimal functions of regional development management abandon complex methods of solving the problem; to ensure the proof of the dynamic programming method through linear approximation of optimal management of regional development. It is proposed to visualize optimal values of the integral indices of the modules functioning using attractors. Optimal values of socio-economic development of regions are the position of entering the attractor trajectory in a closed cycle in a certain period, which is considered from the standpoint of the at-tractor stabilization from the variant set of phase trajectories of socio-economic development of the region. The proposed use of the L. Pontryagin maximum principle on the example of the regions of Ukraine has been tested.