The Optimization of Solutions of the Dynamic Systems with Random Structure
The paper deals with the class of jump control systems with semi-Markov coefficients. The control system is described as the system of linear differential equations. Every jump of the random process implies the random transformation of solutions of the considered system. Relations determining the op...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/486714 |
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| _version_ | 1850211894885875712 |
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| author | Miroslava Růžičková Irada Dzhalladova |
| author_facet | Miroslava Růžičková Irada Dzhalladova |
| author_sort | Miroslava Růžičková |
| collection | DOAJ |
| description | The paper deals with the class of jump control systems with semi-Markov coefficients. The control system is described as the system of linear differential equations. Every jump of the random process implies the random transformation of solutions of the considered system. Relations determining the optimal control to minimize the functional are derived using Lyapunov functions. Necessary conditions of optimization which enables the synthesis of the optimal control are established as well. |
| format | Article |
| id | doaj-art-8b0c09bf040d4fcaa44fd09cacb94e9b |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8b0c09bf040d4fcaa44fd09cacb94e9b2025-08-20T02:09:28ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/486714486714The Optimization of Solutions of the Dynamic Systems with Random StructureMiroslava Růžičková0Irada Dzhalladova1University of Žilina, Žilina, SlovakiaVadim Getman Kyjew National Economic University, Kyjew, UkraineThe paper deals with the class of jump control systems with semi-Markov coefficients. The control system is described as the system of linear differential equations. Every jump of the random process implies the random transformation of solutions of the considered system. Relations determining the optimal control to minimize the functional are derived using Lyapunov functions. Necessary conditions of optimization which enables the synthesis of the optimal control are established as well.http://dx.doi.org/10.1155/2011/486714 |
| spellingShingle | Miroslava Růžičková Irada Dzhalladova The Optimization of Solutions of the Dynamic Systems with Random Structure Abstract and Applied Analysis |
| title | The Optimization of Solutions of the Dynamic Systems with Random Structure |
| title_full | The Optimization of Solutions of the Dynamic Systems with Random Structure |
| title_fullStr | The Optimization of Solutions of the Dynamic Systems with Random Structure |
| title_full_unstemmed | The Optimization of Solutions of the Dynamic Systems with Random Structure |
| title_short | The Optimization of Solutions of the Dynamic Systems with Random Structure |
| title_sort | optimization of solutions of the dynamic systems with random structure |
| url | http://dx.doi.org/10.1155/2011/486714 |
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