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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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  • https://www.mathnet.ru/eng/mzm6603
  • https://doi.org/10.4213/mzm6603
  • https://www.mathnet.ru/eng/mzm/v90/i2/p163
    • This publication is cited in the following 2 articles:
    1. Mashrabjon Mamatov, Egamberdi Esonov, THE INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE RAKHMATULIN READINGS, 3119, THE INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE RAKHMATULIN READINGS, 2024, 050006  crossref
    2. N. A. Mamadaliev, B. Kh. Khayitkulov, “Complete solution of a class of differential pursuit games with integral constraint and impulse control”, Russian Math. (Iz. VUZ), 66:3 (2022), 22–29  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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