Consensus of Fractional-Order Multiagent Systems with Double Integrator under Switching Topologies
Due to the complexity of the practical environments, many systems can only be described with the fractional-order dynamics. In this paper, the consensus of fractional-order multiagent systems with double integrator under switching topologies is investigated. By applying Mittag-Leffler function, Lapl...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/9394751 |
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| _version_ | 1849398383111831552 |
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| author | Shiyun Shen Wenjing Li Wei Zhu |
| author_facet | Shiyun Shen Wenjing Li Wei Zhu |
| author_sort | Shiyun Shen |
| collection | DOAJ |
| description | Due to the complexity of the practical environments, many systems can only be described with the fractional-order dynamics. In this paper, the consensus of fractional-order multiagent systems with double integrator under switching topologies is investigated. By applying Mittag-Leffler function, Laplace transform, and dwell time technique, a sufficient condition on consensus is obtained. Finally, a numerical simulation is presented to illustrate the effectiveness of the theoretical result. |
| format | Article |
| id | doaj-art-a226095915f64ff89af4836ebeceee5c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a226095915f64ff89af4836ebeceee5c2025-08-20T03:38:38ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/93947519394751Consensus of Fractional-Order Multiagent Systems with Double Integrator under Switching TopologiesShiyun Shen0Wenjing Li1Wei Zhu2Research Center of System Theory and Application, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaResearch Center of System Theory and Application, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaResearch Center of System Theory and Application, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaDue to the complexity of the practical environments, many systems can only be described with the fractional-order dynamics. In this paper, the consensus of fractional-order multiagent systems with double integrator under switching topologies is investigated. By applying Mittag-Leffler function, Laplace transform, and dwell time technique, a sufficient condition on consensus is obtained. Finally, a numerical simulation is presented to illustrate the effectiveness of the theoretical result.http://dx.doi.org/10.1155/2017/9394751 |
| spellingShingle | Shiyun Shen Wenjing Li Wei Zhu Consensus of Fractional-Order Multiagent Systems with Double Integrator under Switching Topologies Discrete Dynamics in Nature and Society |
| title | Consensus of Fractional-Order Multiagent Systems with Double Integrator under Switching Topologies |
| title_full | Consensus of Fractional-Order Multiagent Systems with Double Integrator under Switching Topologies |
| title_fullStr | Consensus of Fractional-Order Multiagent Systems with Double Integrator under Switching Topologies |
| title_full_unstemmed | Consensus of Fractional-Order Multiagent Systems with Double Integrator under Switching Topologies |
| title_short | Consensus of Fractional-Order Multiagent Systems with Double Integrator under Switching Topologies |
| title_sort | consensus of fractional order multiagent systems with double integrator under switching topologies |
| url | http://dx.doi.org/10.1155/2017/9394751 |
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