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| Leader-following positive consensus of heterogeneous switched multi-agent systems with average dwell time switching |
| KaimingLi1,WeiXing1,2,HaoyueYang1,JunfengZhang1 |
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| (School of Information and Communication Engineering, Hainan University, Haikou 570228, Hainan, China;Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai 200240, China) |
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| 摘要: |
| This paper focuses on the leader-following positive consensus problems of heterogeneous switched multi-agent systems. First, a state-feedback controller with dynamic compensation is introduced to achieve positive consensus under average dwell time switching. Then sufficient conditions are derived to guarantee the positive consensus. The gain matrices of the control protocol are described using a matrix decomposition approach and the corresponding computational complexity is reduced by resorting to linear programming and co-positive Lyapunov functions. Finally, two numerical examples are provided to illustrate the results obtained. |
| 关键词: Heterogeneous switched multi-agent systems · Positive consensus · Linear programming |
| DOI：https://doi.org/10.1007/s11768-025-00299-x |
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| 基金项目:This work was supported by the National Natural Science Foundation of China (62463007, 62463005), the Natural Science Foundation of Hainan Province (625RC710, 625MS047), the System Control and Information Processing Education Ministry Key Laboratory Open Funding, China (Scip20240119), and the Science Research Funding of Hainan University, China (KYQD(ZR)22180, KYQD(ZR)23180). |
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| Leader-following positive consensus of heterogeneous switched multi-agent systems with average dwell time switching |
| Kaiming Li1,Wei Xing1,2,Haoyue Yang1,Junfeng Zhang1 |
| (School of Information and Communication Engineering, Hainan University, Haikou 570228, Hainan, China;Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai 200240, China) |
| Abstract: |
| This paper focuses on the leader-following positive consensus problems of heterogeneous switched multi-agent systems. First, a state-feedback controller with dynamic compensation is introduced to achieve positive consensus under average dwell time switching. Then sufficient conditions are derived to guarantee the positive consensus. The gain matrices of the control protocol are described using a matrix decomposition approach and the corresponding computational complexity is reduced by resorting to linear programming and co-positive Lyapunov functions. Finally, two numerical examples are provided to illustrate the results obtained. |
| Key words: Heterogeneous switched multi-agent systems · Positive consensus · Linear programming |
