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Transformation of Guidance Problems

The transformation of the given approach problem to the approach problem "in the moment".

Yurii Averboukh, Programmed Iteration Method for the Aiming Problem of Autonomous Conflict Controlled Systems // Differential Equations and Control Processes, 2007, N 1.

 

 

 

The game-theoretical problem of approach is under consideration. The approach problem ``by the moment'' for an autonomous conflict controlled system is transformed to the approach problem ``at the moment'' for a extended system. 
A variant of a programmed iteration method (iteration of stability) is studied. A.G. Chentsov proved that the sequence of sets converge to the set of successful solvability of approach problem. The coincidence of corresponding iterations is proved; therefore the coincidence of successful solvability sets follows. It is established that if the start system satisfy the Isaacs condition then the transformed system satisfy this condition too.

 

Paper in Russian

Ключевые слова: differential games, trasnformation of control problem.


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