NON-STATIONARY PROBLEMS OF PURSUIT-EVASION WITH LANGENHOP-TYPE CONSTRAINTS

Source abstract

In this paper, we consider a non-stationary pursuit-evasion problem when the players’ controls are chosen from the class of functions of satisfying integral inequalities of the Langenhope type. To solve the pursuit problem, a parallel approach strategy (Π-strategy) is proposed. To solve the problem of evasion, a special strategy is proposed that allows avoiding capture. New necessary and sufficient conditions for the solvability of pursuit-evasion problems are obtained.