Application of the Variational Method for Solving Inverse Problems of Optimal Control
| Autor: | T. M. Khapaeva, V. V. Ternovskii, M. M. Khapaev |
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| Rok vydání: | 2018 |
| Předmět: |
Generality
Degree (graph theory) General Mathematics 010102 general mathematics 02 engineering and technology Inverse problem Optimal control 01 natural sciences 020303 mechanical engineering & transports Variational method 0203 mechanical engineering Applied mathematics Minification 0101 mathematics Differential (mathematics) Mathematics |
| Zdroj: | Doklady Mathematics. 98:603-606 |
| ISSN: | 1531-8362 1064-5624 |
| Popis: | For optimal control problems, a new approach based on the search for an extremum of a special functional is proposed. The differential problem is reformulated as an ill-posed variational inverse problem. Taking into account ill-posedness leads to a stable numerical minimization procedure. The method developed has a high degree of generality, since it allows one to find special controls. Several examples of interest concerning the solution of classical optimal control problems are considered. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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