A game of optimal pursuit of one object by several (Q2714654)
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scientific article; zbMATH DE number 1607070
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A game of optimal pursuit of one object by several |
scientific article; zbMATH DE number 1607070 |
Statements
20 June 2001
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differential games
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simple motions
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A game of optimal pursuit of one object by several (English)
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The motion of \(m\) persuing and one evader is modelled by the equations NEWLINE\[NEWLINE \begin{alignedat}{2} &\dot x_i = u_i, &&\quad x_i(0) = x_{i0},\\ &\dot y = v, &&\quad y(0) = y_0. \end{alignedat} NEWLINE\]NEWLINE The author constructs the players' strategies and determines the game value under certain restrictions on the controls of the first \(k\) \( (k\leq m) \) persuings.
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