Mean-square consensus of a semi-Markov jump multi-agent system based on event-triggered stochastic sampling
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Updated: Jul 17, 2025

The HoneyComb Paradigm for Research on Collective Human Behavior
Published on: January 19, 2019
Duoduo Zhao1, Fang Gao1, Jinde Cao2
1School of Big Data and Artificial Intelligence, Chizhou University, Chizhou 247000, Anhui, China.
Abstract:
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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