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Matematicheskie Zametki, 2011, Volume 90, Issue 2, Pages 163–167
DOI: https://doi.org/10.4213/mzm6603 (Mi mzm6603) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Pontryagin's First Direct Method in Pursuit Problems

A. A. Azamov

Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan
Full-text PDF (396 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm6603
Abstract: We describe an example of a three-dimensional linear differential game with convex compact sets of control. In this example, the integrand in Pontryagin's first direct method is discontinuous on a set of positive measure.
Keywords: linear differential game, Pontryagin direct method, convex compact set of control, stroboscopic strategy, Lebesgue measurability, Borel measurability, Aumann integral, Hausdorff metric, Cantor discontinuum.
Received: 06.10.2008
English version:
Mathematical Notes, 2011, Volume 90, Issue 2, Pages 157–161
DOI: https://doi.org/10.1134/S0001434611070169
Bibliographic databases:
Document Type: Article
UDC: 519.978.2
Language: Russian
Citation: A. A. Azamov, “On Pontryagin's First Direct Method in Pursuit Problems”, Mat. Zametki, 90:2 (2011), 163–167; Math. Notes, 90:2 (2011), 157–161
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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