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http://hdl.handle.net/11701/44911
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Поле DC | Значение | Язык |
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dc.contributor.author | Arguchintsev, Alexander V. | - |
dc.date.accessioned | 2024-02-19T14:03:48Z | - |
dc.date.available | 2024-02-19T14:03:48Z | - |
dc.date.issued | 2023-12 | - |
dc.identifier.citation | Arguchintsev A. V. The variational optimality condition in the problem of minimizing the finite state norm by a composite system of hyperbolic and ordinary differential equations. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 4, pp. 540–548. https://doi.org/10.21638/11701/spbu10.2023.410 (In Russian) | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu10.2023.410 | - |
dc.identifier.uri | http://hdl.handle.net/11701/44911 | - |
dc.description.abstract | An optimal control problem for a system of linear first-order hyperbolic equations is studied. The boundary conditions are determined from controlled systems of ordinary differential equations. A nonclassical exact formulae for the increment of a linear performance index (a finite state norm) is suggested. Based on this result, a variational optimality condition is proved. The original optimal control problems for a hyperbolic system is reduced to the problem for systems of ordinary differential equations. | en_GB |
dc.description.sponsorship | This work was funded by the Russian Science Foundation (project N 23-21-00296, https://rscf.ru/project/23-21-00296/). | 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 19; Issue 4 | - |
dc.subject | hyperbolic system | en_GB |
dc.subject | controlled boundary conditions | en_GB |
dc.subject | norm minimization | en_GB |
dc.subject | variational optimality condition | en_GB |
dc.subject | problem reduction | en_GB |
dc.title | The variational optimality condition in the problem of minimizing the finite state norm by a composite system of hyperbolic and ordinary differential equations | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 4 |
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