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ℓ-CATCH AND ℓ-ESCAPE DIFFERENTIAL GAMES WITH NON-INERTIAL OBJECTS UNDER NON-STATIONARY GEOMETRIC CONSTRAINTS ON CONTROLS

M.A. Turgunboeva

Source record

Source: Crossref

Published: Dec 1, 2023

DOI: 10.29229/uzmj.2023-4-11

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Source abstract

The paper is devoted to the ℓ-catch differential game. Controls of objects are subjected to non-stationary geometric constraints. The approach strategy is constructed for a pursuer, and sufficient conditions of the ℓ-catch game are given. The specific strategy is offered for evader, and sufficient condition of the ℓ-escape game is found. Several examples are provided to analyze the obtained results.

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ℓ-CATCH AND ℓ-ESCAPE DIFFERENTIAL GAMES WITH NON-INERTIAL OBJECTS UNDER NON-STATIONARY GEOMETRIC CONSTRAINTS ON CONTROLS — Mathematical Frontier Network