PURSUIT DIFFERENTIAL GAME PROBLEM WITH INTEGRAL AND GEOMETRIC CONSTRAINTS IN A HILBERT SPACE

Authors

  • J. Rilwan DEPARTMENT OF MATHEMATICS, BAYERO UNIVERSITY, KANO
  • A. J. Badakaya DEPARTMENT OF MATHEMATICS, BAYERO UNIVERSITY, KANO

Abstract

We study pursuit  differential game problem with countable number of pursuers and one evader. Control functions of some finite number of pursuers are subject to integral constraints while that of the remaining pursuers and evader are subject to geometric constraint. Sufficient conditions for completion of pursuit in two different theorems are presented. Moreover, attainability domains and  strategies of the players are also constructed. Furthermore, illustrative examples are given.

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Published

2019-01-11

Issue

Vol. 37 No. 3 (2018): JNMS

Section

Articles

How to Cite

PURSUIT DIFFERENTIAL GAME PROBLEM WITH INTEGRAL AND GEOMETRIC CONSTRAINTS IN A HILBERT SPACE. (2019). Journal of the Nigerian Mathematical Society, 37(3), 203-215. https://ojs.ictp.it/jnms/index.php/jnms/article/view/391