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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2012 Volume 91, Issue 5, Pages 750–760 (Mi mzm6346)

This article is cited in 10 papers

Linear Differential Pursuit Games with Integral Constraints in the Presence of Delay

N. Mamadaliev

National University of Uzbekistan named after M. Ulugbek, Tashkent

Abstract: Problems involving linear differential pursuit games were studied by many authors; their work served as a basis for studying pursuit problems in linear differential games with integral constraints. In the present paper, we obtain sufficient conditions for the solvability of linear pursuit problems with integral constraints on the control of the players in the presence of delay.

Keywords: linear differential pursuit games, delay differential equation, admissible control, measurable vector function, quarry, pursuer.

UDC: 517.97

Received: 08.10.2008
Revised: 12.04.2011

DOI: 10.4213/mzm6346


 English version:
Mathematical Notes, 2012, 91:5, 704–713

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© Steklov Math. Inst. of RAS, 2024