Mean-square consensus of a semi-Markov jump multi-agent system based on event-triggered stochastic sampling
This paper focuses on achieving leader-follower mean square consensus in semi-Markov jump multi-agent systems. To effectively reduce communication costs and control updates, we propose an event-triggered protocol based on stochastic sampling. The stochastic sampling interval randomly switches betwee...
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Format: | Article |
Language: | English |
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AIMS Press
2023-06-01
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Series: | Mathematical Biosciences and Engineering |
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Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023637?viewType=HTML |
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author | Duoduo Zhao Fang Gao Jinde Cao Xiaoxin Li Xiaoqin Ma |
author_facet | Duoduo Zhao Fang Gao Jinde Cao Xiaoxin Li Xiaoqin Ma |
author_sort | Duoduo Zhao |
collection | DOAJ |
description | This paper focuses on achieving leader-follower mean square consensus in semi-Markov jump multi-agent systems. To effectively reduce communication costs and control updates, we propose an event-triggered protocol based on stochastic sampling. The stochastic sampling interval randomly switches between finite given values, while the event-triggered function depends on the stochastic sampled data from neighboring agents. Using the event-triggered strategy, we present sufficient conditions to ensure mean square consensus. Finally, we provide a numerical example demonstrating the effectiveness of the theoretical results. |
first_indexed | 2024-03-12T20:14:05Z |
format | Article |
id | doaj.art-e8462b7cf6c244c399758e9a9ed191a5 |
institution | Directory Open Access Journal |
issn | 1551-0018 |
language | English |
last_indexed | 2024-03-12T20:14:05Z |
publishDate | 2023-06-01 |
publisher | AIMS Press |
record_format | Article |
series | Mathematical Biosciences and Engineering |
spelling | doaj.art-e8462b7cf6c244c399758e9a9ed191a52023-08-02T01:31:06ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-06-01208142411425910.3934/mbe.2023637Mean-square consensus of a semi-Markov jump multi-agent system based on event-triggered stochastic samplingDuoduo Zhao0Fang Gao1Jinde Cao2Xiaoxin Li3Xiaoqin Ma41. School of Big Data and Artificial Intelligence, Chizhou University, Chizhou 247000, Anhui, China1. School of Big Data and Artificial Intelligence, Chizhou University, Chizhou 247000, Anhui, China2. School of Mathematics, Southeast University, Nanjing 211189, Jiangsu, China1. School of Big Data and Artificial Intelligence, Chizhou University, Chizhou 247000, Anhui, China1. School of Big Data and Artificial Intelligence, Chizhou University, Chizhou 247000, Anhui, ChinaThis paper focuses on achieving leader-follower mean square consensus in semi-Markov jump multi-agent systems. To effectively reduce communication costs and control updates, we propose an event-triggered protocol based on stochastic sampling. The stochastic sampling interval randomly switches between finite given values, while the event-triggered function depends on the stochastic sampled data from neighboring agents. Using the event-triggered strategy, we present sufficient conditions to ensure mean square consensus. Finally, we provide a numerical example demonstrating the effectiveness of the theoretical results.https://www.aimspress.com/article/doi/10.3934/mbe.2023637?viewType=HTMLevent-triggeredstochastic samplinglyapunov functionsemi-markovian switchingmulti-agent systemsmean-square consensus |
spellingShingle | Duoduo Zhao Fang Gao Jinde Cao Xiaoxin Li Xiaoqin Ma Mean-square consensus of a semi-Markov jump multi-agent system based on event-triggered stochastic sampling Mathematical Biosciences and Engineering event-triggered stochastic sampling lyapunov function semi-markovian switching multi-agent systems mean-square consensus |
title | Mean-square consensus of a semi-Markov jump multi-agent system based on event-triggered stochastic sampling |
title_full | Mean-square consensus of a semi-Markov jump multi-agent system based on event-triggered stochastic sampling |
title_fullStr | Mean-square consensus of a semi-Markov jump multi-agent system based on event-triggered stochastic sampling |
title_full_unstemmed | Mean-square consensus of a semi-Markov jump multi-agent system based on event-triggered stochastic sampling |
title_short | Mean-square consensus of a semi-Markov jump multi-agent system based on event-triggered stochastic sampling |
title_sort | mean square consensus of a semi markov jump multi agent system based on event triggered stochastic sampling |
topic | event-triggered stochastic sampling lyapunov function semi-markovian switching multi-agent systems mean-square consensus |
url | https://www.aimspress.com/article/doi/10.3934/mbe.2023637?viewType=HTML |
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