A Method for Solving Boundary Value Problems for Nonlinear Control Systems in the Class of Discrete Controls

We suggest an algorithm for constructing discrete control functions, This algorithm is sufficiently convenient for numerical implementation mid. for a wide class of nonlinear systems of ordinary differential equations. provides the passage from the initial state into an arbitrary given or arbitrarily small neighborhood of a given terminal state. We obtain constructive criterion for the choice. of terminal states and discretization Steps for which the passage is possible with regard of the constraints imposed Oil the control and the phase. coordinates. We consider an interorbital flight problem, for which we carry out. numerical simulation.