"EVASION PROBLEM FOR THE SECOND ORDER DIFFERENTIAL GAME" by Ulmasjon Boykuzi o‘g‘li Soyibboev, Nargiza Tashkinbaevna Umaralieva et al.

Scientific Bulletin of Namangan State University

Article Title

EVASION PROBLEM FOR THE SECOND ORDER DIFFERENTIAL GAME

Authors

Ulmasjon Boykuzi o‘g‘li Soyibboev, NamSU masters at the Department of differential equation main teacher at the department of applied mathematics and informatics
Nargiza Tashkinbaevna Umaralieva, NamSU teacher at the department of applied mathematics and informatics
Sabohat Ismoiljon qizi Uralova, NamSU masters at the Department of differential equation and mathematics-physics

Abstract

In this paper, we study the evasion problem for the second order differential game when the initial positions of moving objects are linearly dependent and controls of the players have geometric constraints. Here the new sufficient solvability conditions for evader will be proposed.

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References

1. Azamov A.A., Samatov B.T. The П-Strategy: Analogies and Applications// The Fourth International Conference Game Theory and Management , June 28-30, 2010, St. Petersburg, Russia, Collected papers.– Р. 33-47. 2. Chernousko F. L., Ananievski I. M., Reshmin S. A. Control of Nonlinear Dynamical Systems. – Berlin, Heidel.: Spr., – 2008.– 396 p. 3. Blagodatskikh A.I., Petrov N.N. Conflict interaction of groups of controlled objects. Izhevsk: Udmurt State University- 2009. 4. Isaacs R. Differential Games. – New York: John &Wiley, 1971. –480 p. 5. Chikrii A.A. (1997) Conflict-Controlled Processes. Kluwer, Dordrecht.

Erratum

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Recommended Citation

Soyibboev, Ulmasjon Boykuzi o‘g‘li; Umaralieva, Nargiza Tashkinbaevna; and Uralova, Sabohat Ismoiljon qizi (2019) "EVASION PROBLEM FOR THE SECOND ORDER DIFFERENTIAL GAME," Scientific Bulletin of Namangan State University: Vol. 1 : Iss. 4 , Article 2.
Available at: https://uzjournals.edu.uz/namdu/vol1/iss4/2

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