Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator
In nature, many phenomena can be explained by coordinated behavior of agents with fractional-order dynamics. In this paper, the consensus problem of fractional-order multiagent systems with double-integrator is studied, where the fractional-order satisfies 0<α<2. Based on the fractional-order...
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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/10.1155/2017/9256532 |
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| _version_ | 1832557134509768704 |
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| author | Chunde Yang Wenjing Li Wei Zhu |
| author_facet | Chunde Yang Wenjing Li Wei Zhu |
| author_sort | Chunde Yang |
| collection | DOAJ |
| description | In nature, many phenomena can be explained by coordinated behavior of agents with fractional-order dynamics. In this paper, the consensus problem of fractional-order multiagent systems with double-integrator is studied, where the fractional-order satisfies 0<α<2. Based on the fractional-order stability theory, Mittag-Leffler function, and Laplace transform, a necessary and sufficient condition is obtained under the assumption that the directed graph for the communication network contains a directed spanning tree. Finally, an example with simulation is presented to illustrate the theoretical results. |
| format | Article |
| id | doaj-art-e6d21b3fb756414696eee3421a6d95ea |
| 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-e6d21b3fb756414696eee3421a6d95ea2025-02-03T05:43:32ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/92565329256532Consensus Analysis of Fractional-Order Multiagent Systems with Double-IntegratorChunde Yang0Wenjing 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, ChinaIn nature, many phenomena can be explained by coordinated behavior of agents with fractional-order dynamics. In this paper, the consensus problem of fractional-order multiagent systems with double-integrator is studied, where the fractional-order satisfies 0<α<2. Based on the fractional-order stability theory, Mittag-Leffler function, and Laplace transform, a necessary and sufficient condition is obtained under the assumption that the directed graph for the communication network contains a directed spanning tree. Finally, an example with simulation is presented to illustrate the theoretical results.http://dx.doi.org/10.1155/2017/9256532 |
| spellingShingle | Chunde Yang Wenjing Li Wei Zhu Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator Discrete Dynamics in Nature and Society |
| title | Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator |
| title_full | Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator |
| title_fullStr | Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator |
| title_full_unstemmed | Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator |
| title_short | Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator |
| title_sort | consensus analysis of fractional order multiagent systems with double integrator |
| url | http://dx.doi.org/10.1155/2017/9256532 |
| work_keys_str_mv | AT chundeyang consensusanalysisoffractionalordermultiagentsystemswithdoubleintegrator AT wenjingli consensusanalysisoffractionalordermultiagentsystemswithdoubleintegrator AT weizhu consensusanalysisoffractionalordermultiagentsystemswithdoubleintegrator |