A Unified Mean Square Consensus Criterion for Stochastic Multi-Agent Systems With ROUs and RONs Under Impulse Time Windows

Zhenhua Zhang; Shiguo Peng; Tao Chen

doi:10.1109/ACCESS.2020.3045982

IEEE Access (Jan 2020)

A Unified Mean Square Consensus Criterion for Stochastic Multi-Agent Systems With ROUs and RONs Under Impulse Time Windows

Zhenhua Zhang,
Shiguo Peng,
Tao Chen

Affiliations

Zhenhua Zhang: School of Automation, Guangdong University of Technology, Guangzhou, China
Shiguo Peng: ORCiD; School of Automation, Guangdong University of Technology, Guangzhou, China
Tao Chen: School of Automation, Guangdong University of Technology, Guangzhou, China

DOI: https://doi.org/10.1109/ACCESS.2020.3045982
Journal volume & issue: Vol. 8
pp. 227999 – 228008

Abstract

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This paper probes into the leader-following mean square consensus problem of stochastic multi-agent systems with randomly occurring uncertainties (ROUs) and randomly occurring nonlinearities (RONs) under impulse time windows (ITWs). A new concept named average left endpoint interval (ALEI) related to ITWs is proposed, which is inspired by the average impulsive interval. Based on ALEI and Lyapunov stability theory, a unified mean square consensus criterion for both stabilizing and interference impulses is attained. The introduction of ALEI allows for a larger upper bound of left endpoint interval and smaller lower bound of left endpoint interval, which makes the preset of ITWs more flexible and less conservative. The validity of the theoretical results is verified by the numerical simulation.

Published in IEEE Access

ISSN: 2169-3536 (Online)
Publisher: IEEE
Country of publisher: United States
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering
Website: https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639

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