On differential games with geometric and integral constraints
DOI:
https://doi.org/10.15407/dopovidi2014.02.038Keywords:
differential games, geometric constraints, integral constraintsAbstract
The paper deals with the problem of bringing a trajectory of the linear conflict-controlled process to a linear subspace in the case of general convex integral constraints on the players’ controls. Sufficient conditions for the problem solvability in the class of measurable controls are obtained. In so doing, the technique of set-valued mappings and convex analysis (epigraph of a function, recession cone) is used. It is shown how to investigate the game with geometric constraints by the developed method.
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