G. I. Ibragimov, B. B. Rikhsiev, “On some sufficient conditions for optimality of the pursuit time in the differential game with multiple pursuers”, Avtomat. i Telemekh., 2006, Issue 4,Pages <nobr>16

This article is cited in 12 papers

Deterministic Systems

On some sufficient conditions for optimality of the pursuit time in the differential game with multiple pursuers

G. I. Ibragimov, B. B. Rikhsiev

Romanovskii Institute of Mathematics, Tashkent, Uzbekistan

Abstract: Consideration was given to the problem of optimal pursuit of one object by multiple objects. The player's moves obey the ordinary differential equations. Geometrical constraints are imposed on the player controls. Sufficient conditions were obtained for optimality of the pursuit time, and the optimal player strategies were constructed.

PACS: 02.30.Yy

Presented by the member of Editorial Board: B. M. Miller

Received: 11.03.2003