Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane

Massimiliano Ferrara, Gafurjan I. Ibragimov, Mehdi Salimi


We study a differential game of many pursuers and one evader in the plane. It is assumed that the pursuers and evader move is allowed within a non empty closed convex set in the plane. Control functions of players are subject to coordinate-wise integral constraints. The game is over when the state of the evader y coincides with that of a pursuer xi, i = {1, ... , m} at given time ti (unspecified), i.e., xi(ti) = y(ti). We obtain conditions under which the game is over in finite time, no matter where the players start from. Moreover, we construct winning for the pursuers.


Differential Game, Control, Strategy, Integral Constraint, State Constraint

Full Text:


DOI: https://doi.org/10.1478/AAPP.952A6

Copyright (c) 2017 Massimiliano Ferrara

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.