The Problem of Guidance the Integral Funnel to the Target Set

We consider a parameter-dependent nonlinear control system on a finite time interval. The problems of guidance of an integral funnel on a target set in a two-dimensional Euclidean space are studied in a soft statement. The integral funnels are controlled by choosing a constant parameter present in the system and a starting point from a set of possible initial states. It is proved that the choice of the initial point can be reduced to the choice of a vector constant parameter in a control system that has only one fixed initial state.