Abstract
We identify a class of conflict-controlled processes /1–3/ for which the solving functions of the group pursuit problem /4–7/ are independent of the termination time of the game while evader errors cause the process to terminate earlier than the guarantee time. Sufficient conditions are derived for the solvability of pursuit and evasion problems, and the continuity property of the solving functions is studied in detail. The sufficient conditions for the pursuit problem to be solvable do not include Pontryagin's condition /3, 8/; it is replaced with a weaker assumption related to the initial state of the process. The proposed procedure enables us to strengthen some known results on the solution of group pursuit problems.
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