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On a goal-keeping differential game

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1 Author(s)
P. Meschler ; Defense Research Corporation, Santa Barbara, CA, USA

A tactical situation analogous to the goal-keeping and scoring problem in hockey is considered. The problem is formulated as a differential game and solved analytically using dynamic programming techniques. The analytic solution is represented by return function maps (in two variables). Other approaches to the problem are indicated with a discussion of their particular advantages and difficulties. Results are quoted for more complex goal-keeping games obtained by a combination of techniques.

Published in:

IEEE Transactions on Automatic Control  (Volume:12 ,  Issue: 1 )