Unique winning policies for linear differential pursuit games

1979 ◽  
Vol 29 (4) ◽  
pp. 629-658
Author(s):  
E. E. M. Rechtschaffen
2019 ◽  
Vol 65 (1) ◽  
pp. 124-136
Author(s):  
M Tukhtasinov ◽  
Kh Ya Mustapokulov

In this paper, we consider two problems. In the first problem, we prove that if the assumption from the paper [1] and one additional condition on the parameters of the game hold, then the pursuit can be finished in any neighborhood of the terminal set. To complete the game, an ε-positional pursuit strategy is constructed.In the second problem, we study the invariance of a given multivalued mapping with respect to the system with distributed parameters. The system is described by the heat conductivity equation containing additive control terms on the right-hand side.


1972 ◽  
Vol 5 (1) ◽  
pp. 355-360
Author(s):  
T.G. Abramyants ◽  
E.P. Maslov ◽  
A.M. Petrovski ◽  
M.I. Volkovinski

Cybernetics ◽  
1975 ◽  
Vol 10 (2) ◽  
pp. 338-344
Author(s):  
M. S. Nikol'skii

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