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

Authors

  • Massimiliano Ferrara Università degli Studi "Mediterranea" di Reggio Calabria http://orcid.org/0000-0002-3663-836X
  • Gafurjan I. Ibragimov Universiti Putra Malaysia
  • Mehdi Salimi Technische Universität Dresden

DOI:

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

Keywords:

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

Abstract

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.

Author Biographies

  • Massimiliano Ferrara, Università degli Studi "Mediterranea" di Reggio Calabria
    Dipartimento di Giurisprudenza ed Economia
  • Gafurjan I. Ibragimov, Universiti Putra Malaysia
    Center for Dynamics, Department of Mathematics
  • Mehdi Salimi, Technische Universität Dresden
    Center for Dynamics, Department of Mathematics

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Published

2017-11-02

Issue

Vol. 95 No. 2 (2017)

Section

Articles

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