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http://hdl.handle.net/11701/28419
Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Abbasov, Majid E. | - |
dc.contributor.author | Sharlay, Artyom S. | - |
dc.date.accessioned | 2021-05-04T14:05:06Z | - |
dc.date.available | 2021-05-04T14:05:06Z | - |
dc.date.issued | 2021-03 | - |
dc.identifier.citation | Abbasov M. E., Sharlay A. S. Searching for the cost-optimal road trajectory on the relief of the terrain. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 1, pp. 4–12. | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu10.2021.101 | - |
dc.identifier.uri | http://hdl.handle.net/11701/28419 | - |
dc.description.abstract | The article analyzes the problem of obtaining the cost-optimal trajectory for building a road. Using the apparatus of mathematical modelling, the authors derive the cost functional, the argument of which is the function that describes the path trajectory. The resulting functional after some additional transformations is written in a simpler form. For the problem of the calculus of variations obtained in this manner, an optimality condition is derived. This condition takes into account the specifics of the constructed functional. Unlike the classical Euler—Lagrange condition, it leads not to a differential, but to an integro-differential equation. An illustrative example of the numerical solution of the obtained equation using the methods of computational mathematics is provided. | en_GB |
dc.description.sponsorship | The necessary conditions for a minimum in the considered problem (section 2) were obtained at the IPME RAS with the financial support of the Russian Science Foundation (project N 20-71-10032). | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 17; Issue 1 | - |
dc.subject | calculus of variations | en_GB |
dc.subject | optimization | en_GB |
dc.subject | integro-differential equations | en_GB |
dc.title | Searching for the cost-optimal road trajectory on the relief of the terrain | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 1 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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01_Аббасов.pdf | 358,58 kB | Adobe PDF | Просмотреть/Открыть |
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