Consensus of Delayed Fractional-Order Multiagent Systems Based on State-Derivative Feedback
A state-derivative feedback (SDF) is added into the designed control protocol in the existing paper to enhance the robustness of a fractional-order multiagent system (FMS) against nonuniform time delays in this paper. By applying the graph theory and the frequency-domain analysis theory, consensus c...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/8789632 |
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| _version_ | 1832560403803013120 |
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| author | Jun Liu Kaiyu Qin Wei Chen Ping Li |
| author_facet | Jun Liu Kaiyu Qin Wei Chen Ping Li |
| author_sort | Jun Liu |
| collection | DOAJ |
| description | A state-derivative feedback (SDF) is added into the designed control protocol in the existing paper to enhance the robustness of a fractional-order multiagent system (FMS) against nonuniform time delays in this paper. By applying the graph theory and the frequency-domain analysis theory, consensus conditions are derived to make the delayed FMS based on state-derivative feedback reach consensus. Compared with the consensus control protocol designed in the existing paper, the proposed SDF control protocol with nonuniform time delays can make the FMS with SDF and nonuniform time delays tolerate longer time delays, which means that the convergence speed of states of the delayed FMS with SDF is accelerated indirectly. Finally, the corresponding results of simulation are given to verify the feasibility of our theoretical results. |
| format | Article |
| id | doaj-art-95cd6403407f4231aeaac5abce11e476 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-95cd6403407f4231aeaac5abce11e4762025-02-03T01:27:44ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/87896328789632Consensus of Delayed Fractional-Order Multiagent Systems Based on State-Derivative FeedbackJun Liu0Kaiyu Qin1Wei Chen2Ping Li3School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Control Engineering, Chengdu University of Information Technology, Chengdu 610225, ChinaSchool of Control Engineering, Chengdu University of Information Technology, Chengdu 610225, ChinaA state-derivative feedback (SDF) is added into the designed control protocol in the existing paper to enhance the robustness of a fractional-order multiagent system (FMS) against nonuniform time delays in this paper. By applying the graph theory and the frequency-domain analysis theory, consensus conditions are derived to make the delayed FMS based on state-derivative feedback reach consensus. Compared with the consensus control protocol designed in the existing paper, the proposed SDF control protocol with nonuniform time delays can make the FMS with SDF and nonuniform time delays tolerate longer time delays, which means that the convergence speed of states of the delayed FMS with SDF is accelerated indirectly. Finally, the corresponding results of simulation are given to verify the feasibility of our theoretical results.http://dx.doi.org/10.1155/2018/8789632 |
| spellingShingle | Jun Liu Kaiyu Qin Wei Chen Ping Li Consensus of Delayed Fractional-Order Multiagent Systems Based on State-Derivative Feedback Complexity |
| title | Consensus of Delayed Fractional-Order Multiagent Systems Based on State-Derivative Feedback |
| title_full | Consensus of Delayed Fractional-Order Multiagent Systems Based on State-Derivative Feedback |
| title_fullStr | Consensus of Delayed Fractional-Order Multiagent Systems Based on State-Derivative Feedback |
| title_full_unstemmed | Consensus of Delayed Fractional-Order Multiagent Systems Based on State-Derivative Feedback |
| title_short | Consensus of Delayed Fractional-Order Multiagent Systems Based on State-Derivative Feedback |
| title_sort | consensus of delayed fractional order multiagent systems based on state derivative feedback |
| url | http://dx.doi.org/10.1155/2018/8789632 |
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