Second-Order Consensus for Multi-Agent Systems With Time-Varying Delays Based on Delay-Partitioning
A consensus problem for second-order agents network with time-varying delays under the directed fixed topology is investigated in this paper. For the convenience of analysing, the original system is converted into an equivalent system associated with disagreement terms. By applying a variable delay-...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9076173/ |
| _version_ | 1819276433293312000 |
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| author | Qi Cui Jie Sun Zhanshan Zhao Yujuan Zheng |
| author_facet | Qi Cui Jie Sun Zhanshan Zhao Yujuan Zheng |
| author_sort | Qi Cui |
| collection | DOAJ |
| description | A consensus problem for second-order agents network with time-varying delays under the directed fixed topology is investigated in this paper. For the convenience of analysing, the original system is converted into an equivalent system associated with disagreement terms. By applying a variable delay-partitioning method, increased computational complexity is solved and obtain less conservatism. A suitable Lyapunov-Krasovskii functional (LKF) is constructed, combining the reciprocally convex combination lemmas with Wirtinger-based inequality to deal with integral items for the derivative of the LKF and further reduce the conservatism. Following the linear matrix inequality theory, a sufficient condition is presented to make all agents asymptotically reach consensus. Finally, simulations are given to illustrate the effectiveness of the proposed results. |
| first_indexed | 2024-12-23T23:40:08Z |
| format | Article |
| id | doaj.art-fe2a319bd6d8474e8e70145728f37297 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-23T23:40:08Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-fe2a319bd6d8474e8e70145728f372972022-12-21T17:25:43ZengIEEEIEEE Access2169-35362020-01-018912279123510.1109/ACCESS.2020.29895589076173Second-Order Consensus for Multi-Agent Systems With Time-Varying Delays Based on Delay-PartitioningQi Cui0https://orcid.org/0000-0002-1271-1294Jie Sun1Zhanshan Zhao2https://orcid.org/0000-0002-2177-3980Yujuan Zheng3School of Computer Science and Technology, Tiangong University, Tianjin, ChinaSchool of Computer Science and Technology, Tiangong University, Tianjin, ChinaSchool of Computer Science and Technology, Tiangong University, Tianjin, ChinaElectronic Information Engineering College, Shandong Huayu University of Technology, Shandong, ChinaA consensus problem for second-order agents network with time-varying delays under the directed fixed topology is investigated in this paper. For the convenience of analysing, the original system is converted into an equivalent system associated with disagreement terms. By applying a variable delay-partitioning method, increased computational complexity is solved and obtain less conservatism. A suitable Lyapunov-Krasovskii functional (LKF) is constructed, combining the reciprocally convex combination lemmas with Wirtinger-based inequality to deal with integral items for the derivative of the LKF and further reduce the conservatism. Following the linear matrix inequality theory, a sufficient condition is presented to make all agents asymptotically reach consensus. Finally, simulations are given to illustrate the effectiveness of the proposed results.https://ieeexplore.ieee.org/document/9076173/Second-order agentsconsensusfixed topologytime-varying delaysdelay-partitioning approach |
| spellingShingle | Qi Cui Jie Sun Zhanshan Zhao Yujuan Zheng Second-Order Consensus for Multi-Agent Systems With Time-Varying Delays Based on Delay-Partitioning IEEE Access Second-order agents consensus fixed topology time-varying delays delay-partitioning approach |
| title | Second-Order Consensus for Multi-Agent Systems With Time-Varying Delays Based on Delay-Partitioning |
| title_full | Second-Order Consensus for Multi-Agent Systems With Time-Varying Delays Based on Delay-Partitioning |
| title_fullStr | Second-Order Consensus for Multi-Agent Systems With Time-Varying Delays Based on Delay-Partitioning |
| title_full_unstemmed | Second-Order Consensus for Multi-Agent Systems With Time-Varying Delays Based on Delay-Partitioning |
| title_short | Second-Order Consensus for Multi-Agent Systems With Time-Varying Delays Based on Delay-Partitioning |
| title_sort | second order consensus for multi agent systems with time varying delays based on delay partitioning |
| topic | Second-order agents consensus fixed topology time-varying delays delay-partitioning approach |
| url | https://ieeexplore.ieee.org/document/9076173/ |
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