Attempts to reduce the difference between the results of mathematical simulations and ship maneuvering trials by means of solving the inverse problem of dynamics generally encounter considerable difficulties. Maybe the main obstacle for system identifiability problems is their instability, which results in the nonrealistic values of the hydrodynamical coefficients.

A practical method for estimating parameters of the mathematical model of the ship by means of solving the consequence of direct problems is here proposed. The method is based on minimazing the vector of cost functions, which represents the '"distance” between the object and it's mathematical model. This method allows to take into account the physical restrictions imposed on the hydrodynamical coefficients and to select the Pareto-optimal solution which satisfy all required functional constraints and thus, to avoid the occurrence of "cancellation effects.

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