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Data-sampled mean-square consensus of hybrid multi-agent systems with time-varying delay and multiplicative noises

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/persons/resource/sun.fenglan

Sun,  Fenglan
Potsdam Institute for Climate Impact Research;

Lu,  Chuan
External Organizations;

Zhu,  Wei
External Organizations;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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Zitation

Sun, F., Lu, C., Zhu, W., Kurths, J. (2023): Data-sampled mean-square consensus of hybrid multi-agent systems with time-varying delay and multiplicative noises. - Information Sciences, 624, 674-685.
https://doi.org/10.1016/j.ins.2022.12.103


Zitierlink: https://publications.pik-potsdam.de/pubman/item/item_28311
Zusammenfassung
This paper addresses the issue of dynamic mean-square consensus for second-order hybrid multi-agent systems. Time-varying delays and multiplicative noises are considered. New distributed control protocols are designed based on data-sampled information of neighbor agents. Equivalently using the error system based on Laplacian matrix, the method could make a dynamic consensus both under the fixed and switching topologies. By adopting stochastic system theory, Lyapunov stability method and linear matrix inequality theory, several sufficient conditions for the dynamic mean-square consensus are obtained. The upper bound of time delay and the discrete-time sampling period of hybrid multi-agent systems under a stochastic noises environment are inferred. Several simulations are presented to demonstrate the effectiveness of the proposed methods.