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Journal Article

Mean-square consensus of hybrid multi-agent systems with noise and nonlinear terms over jointly connected topologies

Authors

Sun,  Fenglan
External Organizations;

Lu,  Chuan
External Organizations;

Zhu,  Wei
External Organizations;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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Citation

Sun, F., Lu, C., Zhu, W., Kurths, J. (2023): Mean-square consensus of hybrid multi-agent systems with noise and nonlinear terms over jointly connected topologies. - Journal of the Franklin Institute, 360, 8, 5759-5779.
https://doi.org/10.1016/j.jfranklin.2023.03.031


Cite as: https://publications.pik-potsdam.de/pubman/item/item_28609
Abstract
This paper studies the mean-square consensus of second-order hybrid multi-agent systems over jointly connected topologies. Systems with time-varying delay and multiplicative noise are considered. The date sampling control technique is adopted. Through matrix transformation, a positive definite matrix transformed by the Laplacian matrix is obtained, where the Laplacian matrix is a connected subgraph divided by the jointly connected topologies. By using graph theory, matrix theory and Lyapunov stability theory, sufficient conditions and the upper bound of time delays for the mean-square consensus are obtained. Finally, several simulations are presented to demonstrate the validity of the control method.