Necessary and sufficient conditions for mean-square bounded consensus of multiagent systems with additive noise

Mei Luo; Jin Rong Wang; Donal O'Regan

doi:10.1002/mma.9273

Necessary and sufficient conditions for mean-square bounded consensus of multiagent systems with additive noise

Mei Luo, Jin Rong Wang, Donal O'Regan

Mathematics

Guizhou University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

Motivated from the mean-square bounded consensus (MSBD) problem of multiagent systems (MASs) with additive noise, this paper studies the joint influence of the agent dynamic structure and communication topology on the consensus. The necessary condition of MSBD is given under the output-based consensus protocol, which is also sufficient under some mild conditions. Furthermore, the upper consensus bound is given via the solution of the Lyapunov equation. Finally, simulation results are provided to illustrate the theoretical results.

Original language	English
Pages (from-to)	13558-13573
Number of pages	16
Journal	Mathematical Methods in the Applied Sciences
Volume	46
Issue number	12
DOIs	https://doi.org/10.1002/mma.9273
Publication status	Published - Aug 2023

Keywords

additive noise
bounded consensusability
consensus protocol
multiagent systems

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10.1002/mma.9273

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abstract = "Motivated from the mean-square bounded consensus (MSBD) problem of multiagent systems (MASs) with additive noise, this paper studies the joint influence of the agent dynamic structure and communication topology on the consensus. The necessary condition of MSBD is given under the output-based consensus protocol, which is also sufficient under some mild conditions. Furthermore, the upper consensus bound is given via the solution of the Lyapunov equation. Finally, simulation results are provided to illustrate the theoretical results.",

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Y1 - 2023/8

N2 - Motivated from the mean-square bounded consensus (MSBD) problem of multiagent systems (MASs) with additive noise, this paper studies the joint influence of the agent dynamic structure and communication topology on the consensus. The necessary condition of MSBD is given under the output-based consensus protocol, which is also sufficient under some mild conditions. Furthermore, the upper consensus bound is given via the solution of the Lyapunov equation. Finally, simulation results are provided to illustrate the theoretical results.

AB - Motivated from the mean-square bounded consensus (MSBD) problem of multiagent systems (MASs) with additive noise, this paper studies the joint influence of the agent dynamic structure and communication topology on the consensus. The necessary condition of MSBD is given under the output-based consensus protocol, which is also sufficient under some mild conditions. Furthermore, the upper consensus bound is given via the solution of the Lyapunov equation. Finally, simulation results are provided to illustrate the theoretical results.

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Necessary and sufficient conditions for mean-square bounded consensus of multiagent systems with additive noise

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Keywords

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