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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Main Authors: Duoduo Zhao, Fang Gao, Jinde Cao, Xiaoxin Li, Xiaoqin Ma
Format: Article
Language:English
Published: AIMS Press 2023-06-01
Series:Mathematical Biosciences and Engineering
Subjects:
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.
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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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