The Consensus of Different Fractional-Order Chaotic Multiagent Systems Using Adaptive Protocols
This paper is concerned with the adaptive consensus problem of incommensurate chaotic fractional order multiagent systems. Firstly, we introduce fractional-order derivative in the sense of Caputo and the classical stability theorem of linear fractional order systems; also, algebraic graph theory and...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/5129072 |
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| _version_ | 1850233519691792384 |
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| author | Masoumeh Firouzjahi Bashir Naderi Yousef Edrisi Tabriz |
| author_facet | Masoumeh Firouzjahi Bashir Naderi Yousef Edrisi Tabriz |
| author_sort | Masoumeh Firouzjahi |
| collection | DOAJ |
| description | This paper is concerned with the adaptive consensus problem of incommensurate chaotic fractional order multiagent systems. Firstly, we introduce fractional-order derivative in the sense of Caputo and the classical stability theorem of linear fractional order systems; also, algebraic graph theory and sufficient conditions are presented to ensure the consensus for fractional multiagent systems. Furthermore, adaptive protocols of each agent using local information are designed and a detailed analysis of the leader-following consensus is presented. Finally, some numerical simulation examples are also given to show the effectiveness of the proposed results. |
| format | Article |
| id | doaj-art-0be70d12fdfd4814b45a3753c236f278 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0be70d12fdfd4814b45a3753c236f2782025-08-20T02:02:55ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/5129072The Consensus of Different Fractional-Order Chaotic Multiagent Systems Using Adaptive ProtocolsMasoumeh Firouzjahi0Bashir Naderi1Yousef Edrisi Tabriz2Department of MathematicsDepartment of MathematicsDepartment of MathematicsThis paper is concerned with the adaptive consensus problem of incommensurate chaotic fractional order multiagent systems. Firstly, we introduce fractional-order derivative in the sense of Caputo and the classical stability theorem of linear fractional order systems; also, algebraic graph theory and sufficient conditions are presented to ensure the consensus for fractional multiagent systems. Furthermore, adaptive protocols of each agent using local information are designed and a detailed analysis of the leader-following consensus is presented. Finally, some numerical simulation examples are also given to show the effectiveness of the proposed results.http://dx.doi.org/10.1155/2022/5129072 |
| spellingShingle | Masoumeh Firouzjahi Bashir Naderi Yousef Edrisi Tabriz The Consensus of Different Fractional-Order Chaotic Multiagent Systems Using Adaptive Protocols Journal of Mathematics |
| title | The Consensus of Different Fractional-Order Chaotic Multiagent Systems Using Adaptive Protocols |
| title_full | The Consensus of Different Fractional-Order Chaotic Multiagent Systems Using Adaptive Protocols |
| title_fullStr | The Consensus of Different Fractional-Order Chaotic Multiagent Systems Using Adaptive Protocols |
| title_full_unstemmed | The Consensus of Different Fractional-Order Chaotic Multiagent Systems Using Adaptive Protocols |
| title_short | The Consensus of Different Fractional-Order Chaotic Multiagent Systems Using Adaptive Protocols |
| title_sort | consensus of different fractional order chaotic multiagent systems using adaptive protocols |
| url | http://dx.doi.org/10.1155/2022/5129072 |
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