Some problems in the theory of differential pursuit games in systems with distributed parameters

1995 ◽  
Vol 59 (6) ◽  
pp. 935-940 ◽  
Author(s):  
M Tukhtasinov
Keyword(s):  
Pursuit Games ◽  
Distributed Parameters ◽  
Differential Pursuit ◽  
Systems With Distributed Parameters

scholarly journals ε-Positional Strategies in the Theory of Differential Pursuit Games and the Invariance of a Constant Multivalued Mapping in the Heat Conductivity Problem

2019 ◽  
Vol 65 (1) ◽  
pp. 124-136
Author(s):  
M Tukhtasinov ◽  
Kh Ya Mustapokulov
Keyword(s):  
Heat Conductivity ◽  
Multivalued Mapping ◽  
Conductivity Equation ◽  
Pursuit Games ◽  
Terminal Set ◽  
Distributed Parameters ◽  
Heat Conductivity Equation ◽  
Differential Pursuit ◽  
The Right ◽  
Additive Control

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.

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