Group consensus of fractional-order heterogeneous multi-agent systems with 
random packet losses and communication delays

Sun, Fenglan; Han, Yunpeng; Wu, Xiaoshuai; Zhu, Wei; Kurths, Jürgen

doi:10.1016/j.physa.2024.129547

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Group consensus of fractional-order heterogeneous multi-agent systems with random packet losses and communication delays

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/persons/resource/sun.fenglan

Sun, Fenglan
Potsdam Institute for Climate Impact Research;

Han, Yunpeng
External Organizations;

Wu, Xiaoshuai
External Organizations;

Zhu, Wei
External Organizations;

/persons/resource/Juergen.Kurths

Kurths, Jürgen
Potsdam Institute for Climate Impact Research;

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Sun, F., Han, Y., Wu, X., Zhu, W., Kurths, J. (2024): Group consensus of fractional-order heterogeneous multi-agent systems with random packet losses and communication delays. - Physica A-Statistical Mechanics and its Applications, 636, 129547.
https://doi.org/10.1016/j.physa.2024.129547

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The group consensus problem of heterogeneous fractional-order multi-agent systems with data packet losses and communication delays is investigated in this paper, and data packet losses are described by the Bernoulli-distribution. Inspired by genetic and the infinite memory property of the Caputo fractional derivative, a novel group consensus control protocol based on sampled data is designed. Sufficient conditions for mean-square group consensus of heterogeneous fractional-order multi-agent systems are derived by using matrix theory, Gerschgorin disc theorem and graph theory. Finally, numerical simulation examples are given to verify the correctness of the theoretical results.