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Matematicheskie Zametki, 2012, Volume 91, Issue 5, Pages 750–760
DOI: https://doi.org/10.4213/mzm6346 (Mi mzm6346) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Linear Differential Pursuit Games with Integral Constraints in the Presence of Delay

N. Mamadaliev

National University of Uzbekistan named after M. Ulugbek, Tashkent
Full-text PDF (423 kB) Citations (11)
References:
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DOI: https://doi.org/10.4213/mzm6346
Abstract: Problems involving linear differential pursuit games were studied by many authors; their work served as a basis for studying pursuit problems in linear differential games with integral constraints. In the present paper, we obtain sufficient conditions for the solvability of linear pursuit problems with integral constraints on the control of the players in the presence of delay.
Keywords: linear differential pursuit games, delay differential equation, admissible control, measurable vector function, quarry, pursuer.
Received: 08.10.2008
Revised: 12.04.2011
English version:
Mathematical Notes, 2012, Volume 91, Issue 5, Pages 704–713
DOI: https://doi.org/10.1134/S0001434612050124
Bibliographic databases:
Document Type: Article
UDC: 517.97
Language: Russian
Citation: N. Mamadaliev, “Linear Differential Pursuit Games with Integral Constraints in the Presence of Delay”, Mat. Zametki, 91:5 (2012), 750–760; Math. Notes, 91:5 (2012), 704–713
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm6346
  • https://doi.org/10.4213/mzm6346
  • https://www.mathnet.ru/eng/mzm/v91/i5/p750
    • This publication is cited in the following 11 articles:
    1. Numanzhon A. Mamadaliev, Khamdam Ya. Mustapokulov, Mukhammadsodik M. Abdumannopov, “Differentsialnye igry presledovaniya neitralnogo tipa s integralnymi ogranicheniyami na upravleniya igrokov”, MTIP, 16:4 (2024), 45–68  mathnet
    2. N. A. Mamadaliev, Kh. Ya. Mustapokulov, G. M. Abdualimova, “Metod razreshayuschikh funktsii dlya resheniya zadachi presledovaniya s integralnymi ogranicheniyami na upravleniya igrokov”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 33:1 (2023), 103–118  mathnet  crossref  mathscinet
    3. E. S. Mozhegova, “Ob odnoi zadache gruppovogo presledovaniya vo vremennykh shkalakh”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 33:1 (2023), 130–140  mathnet  crossref  mathscinet
    4. N. A. Mamadaliev, T. T. Ibaidullaev, G. M. Abdualimova, “Ob igrovykh zadachakh upravleniya puchkami traektorii pri integralnykh ogranicheniyakh na upravleniya igrokov”, Izv. vuzov. Matem., 2023, no. 6, 41–55  mathnet  crossref
    5. A. I. Machtakova, “Lineinaya zadacha gruppovogo presledovaniya s drobnymi proizvodnymi i raznymi vozmozhnostyami igrokov”, Izv. IMI UdGU, 62 (2023), 43–55  mathnet  crossref
    6. G. M. Abdualimova, N. A. Mamadaliev, M. Tukhtasinov, “Sufficient solvability conditions for the problem of pursuit under an impulse action”, Comput. Math. Math. Phys., 63:7 (2023), 1166–1175  mathnet  mathnet  crossref  crossref
    7. Numanzhon Mamadaliev, Khamdam Mustapokulov, “Pursuit Problem for Differential-Difference Equations of Neutral Type”, J Math Sci, 277:3 (2023), 431  crossref
    8. N. A. Mamadaliev, T. T. Ibaydullaev, G. M. Abdualimova, “On Game Problems of Controlling Pencil Trajectories under Integral Constraints on the Controls of Players”, Russ Math., 67:6 (2023), 34  crossref
    9. B. T. Samatov, B. I. Zhuraev, “Pursuit-evasion problems under nonlinear increase of the pursuer's resource”, Tr. IMM UrO RAN, 28, no. 3, 2022, 285–295  mathnet  crossref  mathscinet
    10. N. A. Mamadaliev, T. T. Ibaydullaev, “On the modified third method in the pursuit problem for differential-difference equations of neutral type”, Russian Math. (Iz. VUZ), 65:11 (2021), 18–28  mathnet  crossref  crossref
    11. Samatov B.T., Umaraliyeva N.T., Uralova I S., “Differential Games With the Langenhop Type Constrains on Controls”, Lobachevskii J. Math., 42:12 (2021), 2942–2951  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
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