Аннотация:The optimal control problem is considered as the ill-posed inverse problem.
Incorrectness of the problem brings to results that can differ by orders of magnitude
by close approximate input data. The task is considered just under such assumptions.
The A. N. Tikhonov’s regularization method of ill-posed problems is applied.
In the article the minimization algorithm of functional is worked out in the
problem with use of a Tikhonov stabilizer. The authors have referred to the numerical
method for solving the problem as direct. As an example, rather complicated problems
with phase constraints, problems with chattering regime, a pulse control problem are
considered.