Generalized fiat-algorithm for solving two points control problem

For nonlinear system with one-dimensional control the solution of two points control problem by the inverse system method with using the set of trajectories is obtained. It is supposed that the system is controllable and one-dimensional measurement function exists under which the system is observable and identifiable on the set of trajectories. The class of systems considered includes so-called flat systems characterized by the property of identification on one trajectory.