Correction of flight of a heavy material point in an environment with resistance in the presence of geometric constraints on additional controls

This work is a continuation of a series of articles, devoted to the correction of a perturbed flight of a controlled heavy material point in order to reach its basic law of motion. Flight perturbation is caused not by exact observance of the initial conditions, and movement correction is performed by additional controls included in the differential equations of motion additively to basic controls. considered here that geometric constraints are imposed on the parameters of the additional control in the form of inclusion in a convex compact set. It is shown that if the geometric constraints are not too burdensome, then the movement correction can be successfully implemented.