Abstract
The paper studies problems of group pursuit for linear differential games with integral constraints. The problems are analyzed on the basis of Chikrii’s method of resolving functions. The proposed method substantiates the parallel approach strategy, i.e., the Π-strategy. The new sufficient solvability conditions are obtained for problems of group pursuit. As an example, two classes of problems are considered, namely, the Pontryagin control example and a group pursuit with a simple motion for the case of “l-catch.”
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Translated from Kibernetika i Sistemnyi Analiz, No. 5, September–October, 2013, pp. 132–145.
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Samatov, B.T. Problems of group pursuit with integral constraints on controls of the players. I. Cybern Syst Anal 49, 756–767 (2013). https://doi.org/10.1007/s10559-013-9563-7
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DOI: https://doi.org/10.1007/s10559-013-9563-7