THE OPTIMAL CONTROL IN THE MODELOF NETWORK SECURITY FROM MALICIOUS CODE
The paper deals with a mathematical model of network security. The model is described in terms of the nonlinear optimal control. As a criterion of the control problem quality the price of the summary damage inflicted by the harmful codes is chosen, under additional restriction: the number of recover...
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| Format: | Article |
| Language: | Russian |
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Moscow State Technical University of Civil Aviation
2016-12-01
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| Series: | Научный вестник МГТУ ГА |
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| Online Access: | https://avia.mstuca.ru/jour/article/view/862 |
| _version_ | 1797882932825686016 |
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| author | N. F. Semykina |
| author_facet | N. F. Semykina |
| author_sort | N. F. Semykina |
| collection | DOAJ |
| description | The paper deals with a mathematical model of network security. The model is described in terms of the nonlinear optimal control. As a criterion of the control problem quality the price of the summary damage inflicted by the harmful codes is chosen, under additional restriction: the number of recovered nodes is maximized. The Pontryagin maximum principle for construction of the optimal decisions is formulated. The number of switching points of the optimal control is found. The explicit form of optimal control is given using the Lagrange multipliers method. |
| first_indexed | 2024-04-10T03:43:50Z |
| format | Article |
| id | doaj.art-432c0e4f62a7435c978a0da58621d248 |
| institution | Directory Open Access Journal |
| issn | 2079-0619 2542-0119 |
| language | Russian |
| last_indexed | 2024-04-10T03:43:50Z |
| publishDate | 2016-12-01 |
| publisher | Moscow State Technical University of Civil Aviation |
| record_format | Article |
| series | Научный вестник МГТУ ГА |
| spelling | doaj.art-432c0e4f62a7435c978a0da58621d2482023-03-13T07:19:17ZrusMoscow State Technical University of Civil AviationНаучный вестник МГТУ ГА2079-06192542-01192016-12-010224132137862THE OPTIMAL CONTROL IN THE MODELOF NETWORK SECURITY FROM MALICIOUS CODEN. F. Semykina0Тверской государственный университетThe paper deals with a mathematical model of network security. The model is described in terms of the nonlinear optimal control. As a criterion of the control problem quality the price of the summary damage inflicted by the harmful codes is chosen, under additional restriction: the number of recovered nodes is maximized. The Pontryagin maximum principle for construction of the optimal decisions is formulated. The number of switching points of the optimal control is found. The explicit form of optimal control is given using the Lagrange multipliers method.https://avia.mstuca.ru/jour/article/view/862компьютерный вирусматематическая модельнелинейная система дифференциальных уравненийоптимальное управление |
| spellingShingle | N. F. Semykina THE OPTIMAL CONTROL IN THE MODELOF NETWORK SECURITY FROM MALICIOUS CODE Научный вестник МГТУ ГА компьютерный вирус математическая модель нелинейная система дифференциальных уравнений оптимальное управление |
| title | THE OPTIMAL CONTROL IN THE MODELOF NETWORK SECURITY FROM MALICIOUS CODE |
| title_full | THE OPTIMAL CONTROL IN THE MODELOF NETWORK SECURITY FROM MALICIOUS CODE |
| title_fullStr | THE OPTIMAL CONTROL IN THE MODELOF NETWORK SECURITY FROM MALICIOUS CODE |
| title_full_unstemmed | THE OPTIMAL CONTROL IN THE MODELOF NETWORK SECURITY FROM MALICIOUS CODE |
| title_short | THE OPTIMAL CONTROL IN THE MODELOF NETWORK SECURITY FROM MALICIOUS CODE |
| title_sort | optimal control in the modelof network security from malicious code |
| topic | компьютерный вирус математическая модель нелинейная система дифференциальных уравнений оптимальное управление |
| url | https://avia.mstuca.ru/jour/article/view/862 |
| work_keys_str_mv | AT nfsemykina theoptimalcontrolinthemodelofnetworksecurityfrommaliciouscode AT nfsemykina optimalcontrolinthemodelofnetworksecurityfrommaliciouscode |