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Trudy Inst. Mat. i Mekh. UrO RAN, 2016, Volume 22, Number 2, Pages 211–217 (Mi timm1306)  

A study of the generalized Pontryagin test example from the theory of differential games

M. S. Nikol'skii

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: A generalization of L.S.Pontryagin's test example from the theory of differential games is considered. The study is based on Pontryagin's first direct method, which was developed for the constructive solution of the performance problem in linear pursuit-evasion differential games.

Keywords: differential games, Pontryagin's test example, Pontryagin's first direct method.

Funding Agency Grant Number
Russian Science Foundation 14-50-00005


DOI: https://doi.org/10.21538/0134-4889-2016-22-2-211-217

Full text: PDF file (148 kB)
References: PDF file   HTML file

English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, 299, suppl. 1, 158–164

Bibliographic databases:

UDC: 517.977
MSC: 49N70, 49N75, 91A23
Received: 08.12.2015

Citation: M. S. Nikol'skii, “A study of the generalized Pontryagin test example from the theory of differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 2, 2016, 211–217; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 158–164

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