On the theory of nonstationary dynamic games. (Q5938979)

The problem of investigation of a class of non-stationary dynamic games by the method of guaranteed non-deterioration of the position for dynamic \(n\)-person games is considered. It is supposed that the control systems considered are subject to disturbances. Some new sufficient conditions for existence of the control ensuring that the trajectories of at least one of the control systems will reach the proper terminal set in the phase space in a finite interval of time are found. An algorithm for finding of such a control and a method of calculation of the guaranteed time of attainingvisiting of the terminal set from a given initial position are presented. A model example (the differential game with \(m\) pursuers and one evader) is considered.