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Quasi-Linear Differential-Deference Game of Approach

  • Lesia V. BaranovskaEmail author
Chapter
Part of the Understanding Complex Systems book series (UCS)

Abstract

The paper is devoted to the games of approach. We consider a controlled object whose dynamics is described by the linear differential system with pure time delay or the differential-difference system with commutative matrices in Euclidean space. The approaches to the solutions of these problems are proposed which based on the Method of Resolving Functions and the First Direct Method of L.S. Pontryagin. The guaranteed times of the game termination are found, and corresponding control laws are constructed. The results are illustrated by a model example.

Notes

Acknowledgements

The author is grateful to Academician Zgurovsky M.Z. for the possibility of the publication and to professor Kasyanov P.O. for assistance in publication this article.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute for Applied System AnalysisNational Technical University of Ukraine “Kyiv Polytechnic Institute”KyivUkraine

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