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Home » Issues » Archive of Issues » 2015 - 3 issue » pp. 378-382

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Russia Izhevsk
Year
2015
Volume
25
Issue
3
Pages
378-382
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Section Mathematics
Title Evasion from a group of rigidly coordinated objects in a third-order game
Author(-s) Chirkova L.S.a
Affiliations Udmurt State Universitya
Abstract A conflict interaction of groups of controlled objects is considered. The pursuers' goal is to catch, and the evaders' goal is to avoid contact with pursuers. All players have equal dynamic capabilities. Players' motion is defined by a third order differential equation. All evaders have equal control, therefore they can be considered as rigidly coordinated inertial objects. It is proved that if the convex hull spanned by pursuers' initial acceleration vector is not intersected with the convex hull spanned by evaders' initial acceleration vector, then the evasion is possible.
Keywords differential game, rigidly coordinated objects
UDC 517.977.8, 519.837.4
MSC 49N70, 49N75
DOI 10.20537/vm150307
Received 1 August 2015
Language Russian
Citation Chirkova L.S. Evasion from a group of rigidly coordinated objects in a third-order game, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2015, vol. 25, issue 3, pp. 378-382.
References
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