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Multiple Capture of Given Number of Evaders in Linear Recurrent Differential Games

  • Nikolay N. Petrov
  • Nadezhda A. Solov’evaEmail author
Article
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Abstract

The article deals with the linear pursuit problem with n pursuers and m evaders with equal opportunities for all participants and geometric restrictions on the control of players. The evaders use program strategies, and each pursuer catches no more than one evader. The goal of the pursuers is to catch a given number of evaders, and each evader needs to be caught no less than a certain number of pursuers. In this paper, sufficient conditions are obtained for multiple capture of a given number of evaders.

Keywords

Differential game Pursuer Evader Recurrent function 

Mathematics Subject Classification

49N70 49N75 

Notes

Acknowledgements

This work was supported by grant 1.5211.2017/8.9 from the Ministry of Education and Science of the Russian Federation within the framework of the basic part of the state project in the field of science and grant 18-51-41005 from Russian Foundation for Basic Research.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Udmurt State UniversityIzhevskRussia

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