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Journal Article

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

Authors
/persons/resource/sun.fenglan

Sun,  Fenglan
Potsdam Institute for Climate Impact Research;

Liao,  Xiaogang
External Organizations;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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Citation

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.