Групповое преследование в дифференциальных играх с импульсным управлением

Abstract

A problem of pursuit of an evader by multiple controlled objects is considered. Controls of pursuers are supposed to be impulsive. On the basis of the Method of Resolving Functions, sufficient conditions for capture are derived. For the case with simple motion dynamics, necessary and sufficient condition for capture is formulated that is analogous to the well-known “encirclement” rule.