On a goal-keeping differential game
- 1 February 1967
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 12 (1), 15-21
- https://doi.org/10.1109/TAC.1967.1098475
Abstract
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.Keywords
This publication has 2 references indexed in Scilit:
- Differential games and optimal pursuit-evasion strategiesIEEE Transactions on Automatic Control, 1965
- The convergence problem for differential gamesJournal of Mathematical Analysis and Applications, 1961