Evasion differential game of one evader and multiple pursuers with changing energies

Abstract

In this paper, we study a simple motion evasion differential game of multiple pursuers and
one evader. The control functions of the players are subject to integral constraints, where the energies of the
players change linearly. If the state of the evader does not coincide with those of the pursuers forever, we say
that evasion is possible in the game. We prove a theorem about evasion and construct a strategy for the evader
that guarantees evasion in the game.