QUASI-PARALLEL APPROACH AND MOTION MASKING STRATEGIES IN GAME CONTROL PROBLEMS WITH NON-FIXED TIME

Conflict-controlled processes with non-fixed time are considered, for which two modifications of the method of connecting functions are proposed. A quasi-parallel convergence strategy is defined, which, using the first modification of the method of connecting functions, ensures the successful completion of the process by a fixed endpoint and, in control examples, coincides with the well-known definition of parallel motion. The second modification of the method of connecting functions ensures convergence along a ray by a fixed end point of the game. A motion masking strategy is formulated, which is an important special case of the strategy of chasing along a ray and is of independent interest. The theoretical results of the study are illustrated by a control example. Keywords: conflict-driven processes with non-fixed time, parallel convergence strategy, motion masking strategy, ray tracing.