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Cybernetics and Systems Analysis

, Volume 55, Issue 6, pp 1027–1038 | Cite as

Sufficient Conditions of Approach of Controlled Objects in Dynamic Game Problems. II*

  • I. S. RappoportEmail author
Article

Abstract

The problem of approach of control objects is solved on the basis of the method of resolving functions. New sufficient conditions for game termination in a guaranteed finite time are proposed for the case where the Pontryagin condition is not satisfied. Resolving functions of special type are introduced and are used to develop two schemes of the method of resolving functions that ensure termination of the differential game in the class of quasi-strategies and counter-controls. Formulas for calculating the resolving functions are presented. The results are illustrated by a model example.

Keywords

quasilinear differential game multivalued mapping measurable selector stroboscopic strategy resolving function 

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.V. M. Glushkov Institute of CyberneticsNational Academy of Sciences of UkraineKyivUkraine

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