Consensus Analysis of Heterogeneous Multi-Agent Systems with Time-Varying Delay
This paper studies consensus and \(H_\infty\) consensus problems for heterogeneous multi-agent systems composed of first-order and second-order integrator agents. We first rewrite the multi-agent systems into the corresponding reduced-order systems based on the graph theory and the reduced-order tra...
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| Format: | Article |
| Language: | English |
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MDPI AG
2015-06-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/17/6/3631 |
| _version_ | 1798006923160715264 |
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| author | Beibei Wang Yuangong Sun |
| author_facet | Beibei Wang Yuangong Sun |
| author_sort | Beibei Wang |
| collection | DOAJ |
| description | This paper studies consensus and \(H_\infty\) consensus problems for heterogeneous multi-agent systems composed of first-order and second-order integrator agents. We first rewrite the multi-agent systems into the corresponding reduced-order systems based on the graph theory and the reduced-order transformation. Then, the linear matrix inequality approach is used to consider the consensus of heterogeneous multi-agent systems with time-varying delays in directed networks. As a result, sufficient conditions for consensus and \(H_\infty\) consensus of heterogeneous multi-agent systems in terms of linear matrix inequalities are established in the cases of fixed and switching topologies. Finally, numerical simulations are given to illustrate the effectiveness of the theoretical results. |
| first_indexed | 2024-04-11T13:02:10Z |
| format | Article |
| id | doaj.art-e9395cc1d8384ed8924db49e15c3a48e |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T13:02:10Z |
| publishDate | 2015-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-e9395cc1d8384ed8924db49e15c3a48e2022-12-22T04:22:54ZengMDPI AGEntropy1099-43002015-06-011763631364410.3390/e17063631e17063631Consensus Analysis of Heterogeneous Multi-Agent Systems with Time-Varying DelayBeibei Wang0Yuangong Sun1School of Mathematical Sciences, University of Jinan, Jinan 250022, ChinaSchool of Mathematical Sciences, University of Jinan, Jinan 250022, ChinaThis paper studies consensus and \(H_\infty\) consensus problems for heterogeneous multi-agent systems composed of first-order and second-order integrator agents. We first rewrite the multi-agent systems into the corresponding reduced-order systems based on the graph theory and the reduced-order transformation. Then, the linear matrix inequality approach is used to consider the consensus of heterogeneous multi-agent systems with time-varying delays in directed networks. As a result, sufficient conditions for consensus and \(H_\infty\) consensus of heterogeneous multi-agent systems in terms of linear matrix inequalities are established in the cases of fixed and switching topologies. Finally, numerical simulations are given to illustrate the effectiveness of the theoretical results.http://www.mdpi.com/1099-4300/17/6/3631consensus \(H_\infty\) consensusheterogeneous multi-agent systemlinear matrix inequalitytime-varying delay |
| spellingShingle | Beibei Wang Yuangong Sun Consensus Analysis of Heterogeneous Multi-Agent Systems with Time-Varying Delay Entropy consensus \(H_\infty\) consensus heterogeneous multi-agent system linear matrix inequality time-varying delay |
| title | Consensus Analysis of Heterogeneous Multi-Agent Systems with Time-Varying Delay |
| title_full | Consensus Analysis of Heterogeneous Multi-Agent Systems with Time-Varying Delay |
| title_fullStr | Consensus Analysis of Heterogeneous Multi-Agent Systems with Time-Varying Delay |
| title_full_unstemmed | Consensus Analysis of Heterogeneous Multi-Agent Systems with Time-Varying Delay |
| title_short | Consensus Analysis of Heterogeneous Multi-Agent Systems with Time-Varying Delay |
| title_sort | consensus analysis of heterogeneous multi agent systems with time varying delay |
| topic | consensus \(H_\infty\) consensus heterogeneous multi-agent system linear matrix inequality time-varying delay |
| url | http://www.mdpi.com/1099-4300/17/6/3631 |
| work_keys_str_mv | AT beibeiwang consensusanalysisofheterogeneousmultiagentsystemswithtimevaryingdelay AT yuangongsun consensusanalysisofheterogeneousmultiagentsystemswithtimevaryingdelay |