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Journal Article

Group consensus of multi‐agent systems with reference states via pinning control


Wu,  Xiaoshuai
External Organizations;


Sun,  Fenglan
Potsdam Institute for Climate Impact Research;

Han,  Yunpeng
External Organizations;

Tang,  Kui
External Organizations;

Zhu,  Wei
External Organizations;


Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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Wu, X., Sun, F., Han, Y., Tang, K., Zhu, W., Kurths, J. (2024): Group consensus of multi‐agent systems with reference states via pinning control. - International Journal of Robust and Nonlinear Control, 34, 3, 2036-2052.

Cite as: https://publications.pik-potsdam.de/pubman/item/item_29468
This article investigates the group consensus via pinning control for continuous-time first-order and second-order multi-agent systems (MASs) with reference states. For the group consensus of first-order MASs, the dependence between the agent's state and the control input is considered. For second-order MASs, group consensus control without the velocity information of agents is considered. Instead, the virtual velocity estimation controller is designed. Meanwhile, for the designed control protocols, not only under fixed topology, but also under switching topology are considered. It is demonstrated that group consensus could be obtained under the proposed control protocols by using graph theory and stability theory. Finally, a series of numerical examples are provided to verify the control performance of the propounded control protocols.