ИСТИНА

In a Hilbert space, the terminal control problem on a fixed time interval with linear dynamics and a quadratic objective function is considered.In this problem formulation, controls are bounded in the norm of L_2, and trajectories are absolutely continuous. We find a control such that the corresponding trajectory will connect a given point with terminal point that minimizes the objective function under linear constraints. The weak convergence of the method in controls and the strong convergence in other components of solution were proved.