Mean-square consensus for heterogeneous multi-agent systems with probabilistic 
time delay

Sun, Fenglan; Liao, Xiaogang; Kurths, Jürgen

doi:10.1016/j.ins.2020.07.021

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Mean-square consensus for heterogeneous multi-agent systems with probabilistic time delay

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Sun, Fenglan
Potsdam Institute for Climate Impact Research;

Liao, Xiaogang
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Kurths, Jürgen
Potsdam Institute for Climate Impact Research;

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Sun, F., Liao, X., Kurths, J. (2021): Mean-square consensus for heterogeneous multi-agent systems with probabilistic time delay. - Information Sciences, 543, 112-124.
https://doi.org/10.1016/j.ins.2020.07.021

Cite as: https://publications.pik-potsdam.de/pubman/item/item_25106

Abstract

This paper studies the delay-dependent consensus problem of heterogeneous multi-agent systems over directed topology. The heterogeneous dynamics consisting of both first-order and second-order agents with random time delay are considered. New distributed control protocols based on the probability distribution of time delay are proposed for the leader-following and leaderless systems. By adopting matrix theory, Lyapunov-Krasovskii function and stochastic analysis, some less conservative conditions for the mean-square consensus are established over directed fixed topology and switching topologies. Moreover, the larger upper bounds of time delay are obtained. Finally, several simulations are presented to illustrate the obtained results.