Zhurnal Nevrologii i Psihiatrii imeni S.S. Korsakova.
Том 116.
2016.
С. 61-68
This paper concerns optimal control of a nonconvex perturbed sweeping process and its applications to optimization of the planar crowd motion model of traffic equilibria. The obtained theoretical results allow us to investigate a dynamic optimization problem for the microscopic planar crown motion model with finitely many participants and completely solve it analytically in the case of two participants.