On one method of solving a boundary problem for a nonlinear nonstationary controllable system taking measurement results into account

By constructing an asymptotic observer of Luenberger type, we develop a method for finding the control function that guarantees to transfer a wide class of nonlinear nonstationary controllable systems of ordinary differential equations from the initial state to a given final state according to the actually measured values, constraints on the control, and nonlinearities in the sensor equation. We find a constructive criterion that guarantees the existence of a solution for this problem. We also consider the problem of interorbital space flight.