Dynamic Average Consensus and Consensusability of General Linear Multiagent Systems with Random Packet Dropout
This paper is concerned with the consensus problem of general linear discrete-time multiagent systems (MASs) with random packet dropout that happens during information exchange between agents. The packet dropout phenomenon is characterized as being a Bernoulli random process. A distributed consensus...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/412189 |
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| _version_ | 1832564105473425408 |
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| author | Wen-Min Zhou Jiang-Wen Xiao |
| author_facet | Wen-Min Zhou Jiang-Wen Xiao |
| author_sort | Wen-Min Zhou |
| collection | DOAJ |
| description | This paper is concerned with the consensus problem of general linear discrete-time multiagent systems (MASs) with random packet dropout that happens during information exchange between agents. The packet dropout phenomenon is characterized as being a Bernoulli random process. A distributed consensus protocol with weighted graph is proposed to address the packet dropout phenomenon. Through introducing a new disagreement vector, a new framework is established to solve the consensus problem. Based on the control theory, the perturbation argument, and the matrix theory, the necessary and sufficient condition for MASs to reach mean-square consensus is derived in terms of stability of an array of low-dimensional matrices. Moreover, mean-square consensusable conditions with regard to network topology and agent dynamic structure are also provided. Finally, the effectiveness of the theoretical results is demonstrated through an illustrative example. |
| format | Article |
| id | doaj-art-1165ba2747544e9ca32426e9486caa26 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1165ba2747544e9ca32426e9486caa262025-02-03T01:11:44ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/412189412189Dynamic Average Consensus and Consensusability of General Linear Multiagent Systems with Random Packet DropoutWen-Min Zhou0Jiang-Wen Xiao1School of Automation, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Automation, Huazhong University of Science and Technology, Wuhan 430074, ChinaThis paper is concerned with the consensus problem of general linear discrete-time multiagent systems (MASs) with random packet dropout that happens during information exchange between agents. The packet dropout phenomenon is characterized as being a Bernoulli random process. A distributed consensus protocol with weighted graph is proposed to address the packet dropout phenomenon. Through introducing a new disagreement vector, a new framework is established to solve the consensus problem. Based on the control theory, the perturbation argument, and the matrix theory, the necessary and sufficient condition for MASs to reach mean-square consensus is derived in terms of stability of an array of low-dimensional matrices. Moreover, mean-square consensusable conditions with regard to network topology and agent dynamic structure are also provided. Finally, the effectiveness of the theoretical results is demonstrated through an illustrative example.http://dx.doi.org/10.1155/2013/412189 |
| spellingShingle | Wen-Min Zhou Jiang-Wen Xiao Dynamic Average Consensus and Consensusability of General Linear Multiagent Systems with Random Packet Dropout Abstract and Applied Analysis |
| title | Dynamic Average Consensus and Consensusability of General Linear Multiagent Systems with Random Packet Dropout |
| title_full | Dynamic Average Consensus and Consensusability of General Linear Multiagent Systems with Random Packet Dropout |
| title_fullStr | Dynamic Average Consensus and Consensusability of General Linear Multiagent Systems with Random Packet Dropout |
| title_full_unstemmed | Dynamic Average Consensus and Consensusability of General Linear Multiagent Systems with Random Packet Dropout |
| title_short | Dynamic Average Consensus and Consensusability of General Linear Multiagent Systems with Random Packet Dropout |
| title_sort | dynamic average consensus and consensusability of general linear multiagent systems with random packet dropout |
| url | http://dx.doi.org/10.1155/2013/412189 |
| work_keys_str_mv | AT wenminzhou dynamicaverageconsensusandconsensusabilityofgenerallinearmultiagentsystemswithrandompacketdropout AT jiangwenxiao dynamicaverageconsensusandconsensusabilityofgenerallinearmultiagentsystemswithrandompacketdropout |