The problem of the approach of controlled objects with different inertia in dynamic game problems is considered. Modified sufficient conditions for ending the game in a finite guaranteed time when Pontryagin’s condition is not satisfied are formulated. Some shift functions are considered instead of the Pontryagin selector, and special multi-valued mappings are introduced with their help. They generate the upper and lower resolving functions of a special type, and based on them, two types of modified schemes are proposed: the scheme of Pontryagin’s first method and the method of resolving functions. This ensures the completion of the conflict-controlled process for objects with different inertia in the class of quasi-strategies and counter-controls. New theoretical results are illustrated by a model example.
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The research was partially supported by the National Research Foundation of Ukraine, Grant #2020.02.0121.
Translated from Kibernetyka ta Systemnyi Analiz, No. 2, March–April, 2023, pp. 87–103.
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Chikrii, A.A., Rappoport, I.S. Modified Resolving-Functions Method for Game Problems of Approach of Controlled Objects with Different Inertia. Cybern Syst Anal 59, 251–265 (2023). https://doi.org/10.1007/s10559-023-00559-1
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DOI: https://doi.org/10.1007/s10559-023-00559-1