A REVIEW OF SIMPLE MOTION PURSUIT DIFFERENTIAL GAME
Abstract
Abstract
We study a simple motion pursuit differential game of many pursuers and one evader in a
Hilbert space l2. The control functions of the pursuers and evader are subject to integral and
geometric constraints respectively. Duration of the game is denoted by a positive number θ.
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(τ ) − xj (τ )k ≤ lj
is satisfied for some j ∈ {1, 2, . . .} and some time τ . In this paper, sufficient conditions for the
completion of pursuit were obtained. Consequently, strategies of the pursuers that ensure the
completion of pursuit are constructed.
Full-Text Access Notice
In accordance with the NERD Policy on promoting peer-reviewed publication, public access to the full text of a project, thesis or dissertation is restricted for three years, allowing the author and supervisors sufficient time to pursue peer-reviewed publication.
During this period, researchers with legitimate academic or research purposes may request authorisation directly from the author to enable NERD to release the indexed full texts of the work using the form below.