The Admissible Control Correction Method in a Nonlinear Terminal Perturbed Problem

A solution of a nonlinear perturbed unconstrained point-to-point control problem, in which the unperturbed system is differentially flat, considered paper. An admissible open-loop it constructed using covering method. The main part obtained correction limit problem found by expanding series perturbation parameter. first term expansion determined A.N. Tikhonov’s regularization Fredholm integral equation kind. As shown numerical experiments, structure an allows one to find final form high precision based on auxiliary variational its neighborhood.