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.
Erratum
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Recommended Citation
Samatov, Bahrom Tadjiaxmadovich; Inomiddinov, Sardorbek Nizomiddinovich; Umaralieva, Nargiza Toshqinboyevna; and Uralova, Sabohat Ismoiljon qizi
(2020)
"DIFFERENTIAL GAMES OF THE SECOND ORDER WITH INTEGRAL
CONSTRAINTS,"
Scientific Bulletin of Namangan State University: Vol. 2
:
Iss.
3
, Article 2.
Available at:
https://uzjournals.edu.uz/namdu/vol2/iss3/2