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Scientific Bulletin of Namangan State University

Abstract

In this paper, we study the pursuit problem for differential game of the second order with integral constraints on the control functions of players. The proposed method substantiates the parallel approach and the new sufficient solvability conditions are obtained. Keywords: integral constraints, differential game, pursuer, evader, acceleration

First Page

8

Last Page

14

References

1. Azamov, A. A. and Ruziboyev, M. B. (2013). The time-optimal problem for evolutionary partial differential equations. Journal of Applied Mathematics and Mechanics, 77(2):220–224. 2. Azamov, A. A. and Samatov, B. T. (2000). P-strategy. En elementary introduction to the Theory of Differential Games. National University of Uzbekistan, Tashkent, Uzbekistan. 3. Kuchkarov A.Sh., Ibragimov G.I. An Analogue of the P-strategy and Pursuit and Evasion Differential Games with many Pursuers on a Surface // Game Theory and Management, St.Petersburg, Graduate School of Management SPbU. – St. Petersburg, 2010. - Vol.3. – P. 247-256. 4. Chernousko F.L., Ananievski I.M., Reshmin S.A. Control of Nonlinear Dynamical Systems. – Berlin, Heidel.: Spr., – 2008.– 396 p.

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