On the numerical solution of linear time-optimal problem with two-dimensional control
This the paper considers the problem of linear performance with two-dimensional control. For this problem are formulated and proved optimality conditions. It is shown that the solution of this problem reduces to solving two linear problems of performance with one-dimensional control, and overall time performance. The attainability of these objectives should relate to, i.e. have one common boundary point, at this point there is a (possibly not unique) hyperplane separating these two sets. Given the method of converting the linear time-optimal control problem to the canonical form. A numerical method for solving the original problem, built on analytical solution of two linear problems of performance with the canonical system based on the application of the min-problem. The described algorithm for solving the time-optimal problem with two-dimensional control, as well as the results of the computer implementation of the proposed method.