Pursuit differential game problem with integral and geometric constraints.
Keywords:
Differential Game. pursuers. Evader.Integral constraint.Geometric constraint. Hilbert space.Abstract
Abstract We study pursuit differential game problem in which a countable number of pursuers chase one evader. The problem is formulated in a Hilbert space l2 with pursuers’ motions described by nth order differential equations and that of the evader by mth order differential equation. The control functions of the pursuers and evader are subject to integral and geometric constraints respectively.Duration of the game is denoted by the positive number?. Pursuit is said to be completed if there exist strategies uj of the pursuers Pj such that for any admissible control v(·) of the evader E the inequality ky(?) ? xj (?)k ? rj is satisfied for some j ? {1, 2, . . .}. In this paper, sufficient condition for completion of pursuit were obtained and also strategies of the pursuers that ensure completion of pursuit are constructed.

Published
How to Cite
Issue
Section
Copyright (c) 2022 Journal of the Nigerian Society of Physical Sciences

This work is licensed under a Creative Commons Attribution 4.0 International License.
The Journal of the Nigerian Society of Physical Sciences (JNSPS) is published under the Creative Commons Attribution 4.0 (CC BY-NC) license. This license was developed to facilitate open access, namely, it allows articles to be freely downloaded and to be re-used and re-distributed without restriction, as long as the original work is correctly cited. More specifically, anyone may copy, distribute or reuse these articles, create extracts, abstracts, and other revised versions, adaptations or derivative works of or from an article, mine the article even for commercial purposes, as long as they credit the author(s).
Most read articles by the same author(s)
- Jamilu Adamu, B. M. Abdulhamid, D. T. Gbande, A. S. Halliru, Simple motion pursuit differential game problem of many players with integral and geometric constraints on controls function. , Journal of the Nigerian Society of Physical Sciences: Volume 3, Issue 1, February 2021