Solution of the Terminal Control Problem for a Nonlinear Stationary System in a Bounded Domain

An algorithm for constructing a differentiable control function that guarantees the transfer of a wide class of nonlinear stationary systems of ordinary differential equations from the initial state to the origin on a non-fixed time interval, quite convenient for numerical implementation, is proposed. A constructive Kalman-type sufficient condition that guarantees the specified transfer is found. The efficiency of the algorithm is illustrated by solving a specific practical problem and its numerical modeling.