Fuzzy Optimal Control Problem of Several Variables
The purpose of this paper is to establish the necessary conditions for a fuzzy optimal control problem of several variables. Also, we define fuzzy optimal control problems involving isoperimetric constraints and higher order differential equations. Then, we convert these problems to fuzzy optimal co...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/2182640 |
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| _version_ | 1832556403845234688 |
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| author | Altyeb Mohammed Mustafa Zengtai Gong Mawia Osman |
| author_facet | Altyeb Mohammed Mustafa Zengtai Gong Mawia Osman |
| author_sort | Altyeb Mohammed Mustafa |
| collection | DOAJ |
| description | The purpose of this paper is to establish the necessary conditions for a fuzzy optimal control problem of several variables. Also, we define fuzzy optimal control problems involving isoperimetric constraints and higher order differential equations. Then, we convert these problems to fuzzy optimal control problems of several variables in order to solve these problems using the same solution method. The main results of this paper are illustrated throughout three examples, more specifically, a discussion on the strong solutions (fuzzy solutions) of our problems. |
| format | Article |
| id | doaj-art-af745e72bbcb4b6d809b7b536d8b4609 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-af745e72bbcb4b6d809b7b536d8b46092025-02-03T05:45:32ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/21826402182640Fuzzy Optimal Control Problem of Several VariablesAltyeb Mohammed Mustafa0Zengtai Gong1Mawia Osman2College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu, ChinaCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu, ChinaCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu, ChinaThe purpose of this paper is to establish the necessary conditions for a fuzzy optimal control problem of several variables. Also, we define fuzzy optimal control problems involving isoperimetric constraints and higher order differential equations. Then, we convert these problems to fuzzy optimal control problems of several variables in order to solve these problems using the same solution method. The main results of this paper are illustrated throughout three examples, more specifically, a discussion on the strong solutions (fuzzy solutions) of our problems.http://dx.doi.org/10.1155/2019/2182640 |
| spellingShingle | Altyeb Mohammed Mustafa Zengtai Gong Mawia Osman Fuzzy Optimal Control Problem of Several Variables Advances in Mathematical Physics |
| title | Fuzzy Optimal Control Problem of Several Variables |
| title_full | Fuzzy Optimal Control Problem of Several Variables |
| title_fullStr | Fuzzy Optimal Control Problem of Several Variables |
| title_full_unstemmed | Fuzzy Optimal Control Problem of Several Variables |
| title_short | Fuzzy Optimal Control Problem of Several Variables |
| title_sort | fuzzy optimal control problem of several variables |
| url | http://dx.doi.org/10.1155/2019/2182640 |
| work_keys_str_mv | AT altyebmohammedmustafa fuzzyoptimalcontrolproblemofseveralvariables AT zengtaigong fuzzyoptimalcontrolproblemofseveralvariables AT mawiaosman fuzzyoptimalcontrolproblemofseveralvariables |