On the General Consensus Protocol in Multiagent Networks with Double-Integrator Dynamics and Coupling Time Delay
This paper considers the problem of the convergence of the consensus algorithm for multiple agents in a directed network where each agent is governed by double-integrator dynamics and coupling time delay. The advantage of this protocol is that almost all the existing linear local interaction consens...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/590894 |
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| _version_ | 1849683100228911104 |
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| author | Tao Dong Xiaofeng Liao |
| author_facet | Tao Dong Xiaofeng Liao |
| author_sort | Tao Dong |
| collection | DOAJ |
| description | This paper considers the problem of the convergence of the consensus algorithm for multiple agents in a directed network where each agent is governed by double-integrator dynamics and coupling time delay. The advantage of this protocol is that almost all the existing linear local interaction consensus protocols can be considered as special cases of the present paper. By combining algebraic graph theory and matrix theory and studying the distribution of the eigenvalues of the associated characteristic equation, some necessary and sufficient conditions are derived for reaching the second-order consensus. Finally, an illustrative example is also given to support the theoretical results. |
| format | Article |
| id | doaj-art-ca2a498b14934993ad2fc19a64b6f054 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ca2a498b14934993ad2fc19a64b6f0542025-08-20T03:23:59ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/590894590894On the General Consensus Protocol in Multiagent Networks with Double-Integrator Dynamics and Coupling Time DelayTao Dong0Xiaofeng Liao1College of Software and Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaCollege of Electronic and Information Engineering, Southwest University, Chongqing 400715, ChinaThis paper considers the problem of the convergence of the consensus algorithm for multiple agents in a directed network where each agent is governed by double-integrator dynamics and coupling time delay. The advantage of this protocol is that almost all the existing linear local interaction consensus protocols can be considered as special cases of the present paper. By combining algebraic graph theory and matrix theory and studying the distribution of the eigenvalues of the associated characteristic equation, some necessary and sufficient conditions are derived for reaching the second-order consensus. Finally, an illustrative example is also given to support the theoretical results.http://dx.doi.org/10.1155/2013/590894 |
| spellingShingle | Tao Dong Xiaofeng Liao On the General Consensus Protocol in Multiagent Networks with Double-Integrator Dynamics and Coupling Time Delay Abstract and Applied Analysis |
| title | On the General Consensus Protocol in Multiagent Networks with Double-Integrator Dynamics and Coupling Time Delay |
| title_full | On the General Consensus Protocol in Multiagent Networks with Double-Integrator Dynamics and Coupling Time Delay |
| title_fullStr | On the General Consensus Protocol in Multiagent Networks with Double-Integrator Dynamics and Coupling Time Delay |
| title_full_unstemmed | On the General Consensus Protocol in Multiagent Networks with Double-Integrator Dynamics and Coupling Time Delay |
| title_short | On the General Consensus Protocol in Multiagent Networks with Double-Integrator Dynamics and Coupling Time Delay |
| title_sort | on the general consensus protocol in multiagent networks with double integrator dynamics and coupling time delay |
| url | http://dx.doi.org/10.1155/2013/590894 |
| work_keys_str_mv | AT taodong onthegeneralconsensusprotocolinmultiagentnetworkswithdoubleintegratordynamicsandcouplingtimedelay AT xiaofengliao onthegeneralconsensusprotocolinmultiagentnetworkswithdoubleintegratordynamicsandcouplingtimedelay |