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Journal of Automation and Information Sciences

年間 12 号発行

ISSN 印刷: 1064-2315

ISSN オンライン: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

The Resolving Functions Method for the Pursuit Problem with Integral Constraints on Controls

巻 45, 発行 8, 2013, pp. 41-58
DOI: 10.1615/JAutomatInfScien.v45.i8.50
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要約

The pursuit problem for linear differential games with integral constraints on players controls is considered. The problem solution is based on the Chikrii resolving functions method. The construction of resolving function substantiating the rule of players parallel approach, namely Π-strategy for a pursuer is proposed. For the considered case the new Pontryagin sufficient conditions are obtained for the solvability of the pursuit problem. As an example two classes of games are adduced with each class being of a specific interest.

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