Stability Switches of Arbitrary High-Order Consensus in Multiagent Networks with Time Delays
High-order consensus seeking, in which individual high-order dynamic agents share a consistent view of the objectives and the world in a distributed manner, finds its potential broad applications in the field of cooperative control. This paper presents stability switches analysis of arbitrary high-o...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/514823 |
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| _version_ | 1832553287703855104 |
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| author | Bo Yang |
| author_facet | Bo Yang |
| author_sort | Bo Yang |
| collection | DOAJ |
| description | High-order consensus seeking, in which individual high-order dynamic agents share a consistent view of the objectives and the world in a distributed manner, finds its potential broad applications in the field of cooperative control. This paper presents stability switches analysis of arbitrary high-order consensus in multiagent networks with time delays. By employing a frequency domain method, we explicitly derive analytical equations that clarify a rigorous connection between the stability of general high-order consensus and the system parameters such as the network topology, communication time-delays, and feedback gains. Particularly, our results provide a general and a fairly precise notion of how increasing communication time-delay causes the stability switches of consensus. Furthermore, under communication constraints, the stability and robustness problems of consensus algorithms up to third order are discussed in details to illustrate our central results. Numerical examples and simulation results for fourth-order consensus are provided to demonstrate the effectiveness of our theoretical results. |
| format | Article |
| id | doaj-art-b61ad0269b6f4823a0a505999148630c |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-b61ad0269b6f4823a0a505999148630c2025-02-03T05:54:22ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/514823514823Stability Switches of Arbitrary High-Order Consensus in Multiagent Networks with Time DelaysBo Yang0School of Automation, Wuhan University of Technology, Wuhan 430070, ChinaHigh-order consensus seeking, in which individual high-order dynamic agents share a consistent view of the objectives and the world in a distributed manner, finds its potential broad applications in the field of cooperative control. This paper presents stability switches analysis of arbitrary high-order consensus in multiagent networks with time delays. By employing a frequency domain method, we explicitly derive analytical equations that clarify a rigorous connection between the stability of general high-order consensus and the system parameters such as the network topology, communication time-delays, and feedback gains. Particularly, our results provide a general and a fairly precise notion of how increasing communication time-delay causes the stability switches of consensus. Furthermore, under communication constraints, the stability and robustness problems of consensus algorithms up to third order are discussed in details to illustrate our central results. Numerical examples and simulation results for fourth-order consensus are provided to demonstrate the effectiveness of our theoretical results.http://dx.doi.org/10.1155/2013/514823 |
| spellingShingle | Bo Yang Stability Switches of Arbitrary High-Order Consensus in Multiagent Networks with Time Delays The Scientific World Journal |
| title | Stability Switches of Arbitrary High-Order Consensus in Multiagent Networks with Time Delays |
| title_full | Stability Switches of Arbitrary High-Order Consensus in Multiagent Networks with Time Delays |
| title_fullStr | Stability Switches of Arbitrary High-Order Consensus in Multiagent Networks with Time Delays |
| title_full_unstemmed | Stability Switches of Arbitrary High-Order Consensus in Multiagent Networks with Time Delays |
| title_short | Stability Switches of Arbitrary High-Order Consensus in Multiagent Networks with Time Delays |
| title_sort | stability switches of arbitrary high order consensus in multiagent networks with time delays |
| url | http://dx.doi.org/10.1155/2013/514823 |
| work_keys_str_mv | AT boyang stabilityswitchesofarbitraryhighorderconsensusinmultiagentnetworkswithtimedelays |