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On a differential game with integral and phase constraints

  • Linear Systems
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Abstract

Consideration is given to a differential game on the plane when the moves of a pursuer and a running away are described by equations of the simple move, and integral constraints are imposed on control functions. In the process of the game the pursuer moves within the prescribed closed convex subset of the plane and the running away moves along its boundary. In the case when the running away has an advantage of resources, the development is made of the runaway strategy that affords the lower bound for the distance between the players. In the case when the pursuer has an advantage of resources, for any initial positions of the players the optimal time of pursuit is found and optimal strategies of the players are set up.

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Authors and Affiliations

  1. Institute of Mathematics at the Uzbekistan National University, Tashkent, Uzbekistan

    A. Sh. Kuchkarov

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  1. A. Sh. Kuchkarov
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Original Russian Text © A.Sh. Kuchkarov, 2013, published in Avtomatika i Telemekhanika, 2013, No. 1, pp. 17–34.

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Kuchkarov, A.S. On a differential game with integral and phase constraints. Autom Remote Control 74, 12–25 (2013). https://doi.org/10.1134/S0005117913010025

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  • DOI: https://doi.org/10.1134/S0005117913010025

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