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Consensus of heterogeneous discrete‐time multi‐agent systems with noise over Markov switching topologies

Authors
/persons/resource/sun.fenglan

Sun,  Fenglan
Potsdam Institute for Climate Impact Research;

Lei,  Chengyu
External Organizations;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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Citation

Sun, F., Lei, C., Kurths, J. (2020 online): Consensus of heterogeneous discrete‐time multi‐agent systems with noise over Markov switching topologies. - International Journal of Robust and Nonlinear Control.
https://doi.org/10.1002/rnc.5360


Cite as: https://publications.pik-potsdam.de/pubman/item/item_25101
Abstract
This paper considers the mean‐square bounded consensus of heterogeneous discrete‐time multi‐agent systems with noise over fixed and Markov switching topologies. Firstly, a protocol is designed based on the agents' neighbor information with noise. Secondly, by using the Lyapunov function method, matrix analysis and probability theory, sufficient conditions for the mean‐square bounded consensus are given. Finally, several simulations are presented to illustrate the potential correctness of the results.