UDC 517.977
1 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
 jeffrappoport@gmail.com
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RESOLVING FUNCTIONS METHOD FOR GAME PROBLEMS OF RELEASEOF
CONTROLLED OBJECTS WITH DIFFERENT INERTIA
Abstract. The problem of convergence of controlled objects with different inertia in game dynamics problems
is considered on the basis of the modern version of the method of resolving functions. For such objects, it is characteristic
that the Pontryagin condition is not satisfied on a certain time interval, which significantly complicates the application
of the method of resolving functions to this class of game dynamics problems. A method for solving such problems is proposed,
which is associated with the construction of some scalar functions (resolving), which qualitatively characterize the course
of con vergence of controlled objects with different inertia and the efficiency of the decisions made.
The method of resolving functions is that it allows you to effectively use the modern technique
of multivalued mappings in substantiating game constructions and obtaining meaningful results based on them.
The guaranteed end times of the game are compared for different schemes of approaching controlled objects. An illustrative example is given.
Keywords: controlled objects with different inertia, quasilinear differential game, multi-valued mapping, measurable selector, stroboscopic strategy, resolving function.
FULL TEXT
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