This article is cited in 12 papers

On a Multiperson Pursuit Problem with Integral Constraints on the Controls of the Players

G. I. Ibragimov

University of World Economy and Diplomacy of the Ministry of Foreign Affairs of the Republic of Uzbekistan

Abstract: We consider a linear multiperson differential game with integral constraints on the control of the players. The pursuit is assumed terminated if the solution of at least one of the equations describing the game reaches the origin at some instant of time. In the case of one pursuer, we obtain a necessary and sufficient condition for terminating pursuit from all points of space. In the case of many pursuers, we obtain a sufficient condition for terminating pursuit from all points of space.

UDC: 517.92

Received: 09.04.2000
Revised: 10.07.2000

DOI: 10.4213/mzm734

 English version: Mathematical Notes, 2001, 70:2, 181–191

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