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Scientific Bulletin of Namangan State University

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.

First Page

8

Last Page

12

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.

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