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Marzieh Khakestari
2Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Malaysia
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Solution of a Linear Pursuit-Evasion Differential Game with Closed and Convex Terminal Set Gafurjan I. Ibragimov; Marzieh Khakestari; Atamurat Sh. Kuchkarov
Journal of Mathematical and Fundamental Sciences Vol. 44 No. 1 (2012)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2012.44.1.1

Abstract

A linear two-person zero-sum pursuit-evasion differential game is considered. Control functions of players are subject to integral constraints. Terminal set is a closed convex subset of  The Pursuer tries to bring the state of the system to the terminal set and the Evader  prevents bringing of the state to the terminal set where control resource of the Pursuer is greater than that of Evader.   We obtain a formula for the optimal pursuit time and construct optimal strategies of the players in explicit form.
Co-Authors Atamurat Sh. Kuchkarov Gafurjan I. Ibragimov