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Consensus Control for Stochastic Multi-Agent Systems with Markovian Switching via Periodic Dynamic Event-Triggered Strategy

Authors :
Xue Luo
Chengbo Yi
Jianwen Feng
Jingyi Wang
Yi Zhao
Source :
Axioms, Vol 13, Iss 10, p 694 (2024)
Publication Year :
2024
Publisher :
MDPI AG, 2024.

Abstract

The consensus problem in stochastic multi-agent systems (MASs) with Markovian switching is addressed by proposing a novel distributed dynamic event-triggered (DDET) technique based on periodic sampling to reduce information transmission. Unlike traditional event-triggered control, the proposed periodic sampling-based DDET method is characterized by the following three advantages: (1) The need for continuous monitoring of the event trigger is eliminated. (2) Zeno behavior in stochastic MASs is effectively prevented. (3) Communication costs are significantly reduced. Based on this, sufficient conditions for achieving consensus in the mean-square sense are derived using Lyapunov–Krasovskii functions, providing a solid theoretical foundation for the proposed strategy. The effectiveness of the proposed DDET control is validated through two numerical examples.

Details

Language :
English
ISSN :
20751680
Volume :
13
Issue :
10
Database :
Directory of Open Access Journals
Journal :
Axioms
Publication Type :
Academic Journal
Accession number :
edsdoj.1bf1c8db23a742f9ad101bb0d61919c3
Document Type :
article
Full Text :
https://doi.org/10.3390/axioms13100694