Asymptotic Solution of a Nonlinear Periodic Optimal Control Problem Whose State Equation Involves a Singular Matrix Perturbation.

The article considers a nonlinear periodic optimal control problem whose equation contains an almost degenerate operator multiplying the derivative. The so-called direct scheme of the boundary-function method was used in constructing an asymptotics of a solution. The closeness of the approximate solution to the exact one with respect to the control, the trajectory and the functional was estimated.