Electronic Resource
Springer
Journal of optimization theory and applications
27 (1979), S. 89-97
ISSN:
1573-2878
Keywords:
Differential games
;
optimal strategies
;
singular surfaces
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A constant-speed coplanar model with unlimited turn-rates leads to a rather simple geometrical solution of the problem of point capture of two successive evaders in minimum total time: the pursuer concentrates first on the nearer evader who runs in an appropriate direction; the second evader runs directly away from the predictable point of capture of the first evader. This simple solution is valid only if the second evader remains thereby the further of the two evaders. Otherwise, the solution must be modified to include a phase involving curved motion by all three players, during which the pursuer remains equidistant from both evaders.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00933327
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