Problem of group pursuit in a Pontriagin's example

A pursuit problem of one evader by a group of pursuers in stationary L. S. Pontriagin's example with equal possibilities for all participants is considered. It is supposed that the roots of the characteristic equation are simple and purely imaginary, the terminal sets are the convex compacts and the set of possible controls is arbitrary convex compact. The sufficient solvability conditions of the problem of pursuit are obtained, illustrative examples are presented.