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Automation and Remote Control

, Volume 67, Issue 4, pp 529–537 | Cite as

On some sufficient conditions for optimality of the pursuit time in the differential game with multiple pursuers

  • G. I. Ibragimov
  • B. B. Rikhsiev
Determinate Systems

Abstract

Consideration was given to the problem of optimal pursuit of one object by multiple objects. The player’s moves obey the ordinary differential equations. Geometrical constraints are imposed on the player controls. Sufficient conditions were obtained for optimality of the pursuit time, and the optimal player strategies were constructed.

PACS number

02.30.Yy 

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Copyright information

© Pleiades Publishing, Inc. 2006

Authors and Affiliations

  • G. I. Ibragimov
    • 1
  • B. B. Rikhsiev
    • 1
  1. 1.Romanovskii Institute of MathematicsTashkentUzbekistan

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