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Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints
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نویسنده
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alias i.a. ,ibragimov g. ,kuchkarov a. ,sotvoldiyev a.
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منبع
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malaysian journal of mathematical sciences - 2016 - دوره : 10 - شماره : 2 - صفحه:195 -207
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چکیده
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In this paper,we study a differential game of many pursuers and one evader in r2. the motions of all players are simple. an integral constraint is imposed on each coordinate of the control functions of players. we say that pursuit is completed if the state of a pursuer coincides with that of the evader at some time. the pursuers try to complete the pursuit,and the evader tries to avoid this. sufficient conditions for completion of the differential game were obtained. the strategies of the pursuers are constructed based on the current values of control parameter of the evader. also an illustrative example is provided.
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کلیدواژه
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Control; Coordinatewise integral constraint; Differential game; Pursuit; Strategy
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آدرس
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institute for mathematical research,universiti putra malaysia,serdang,selangor, Malaysia, institute for mathematical research,universiti putra malaysia,serdang,selangor, Malaysia, institute of mathematics at the national university of uzbekistan,29,dorman yuli str.,tashkent, Uzbekistan, institute of mathematics at the national university of uzbekistan,29,dorman yuli str.,tashkent, Uzbekistan
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Authors
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