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A new protocol for finite-time consensus of detail-balanced multi-agent networks
Shaofu Yang1, Jinde Cao, Jianquan Lu
1Research Center for Complex Systems and Network Sciences, and Department of Mathematics, Southeast University, Nanjing 210096, China. yangshf89@gmail.com
Abstract:
In this paper, a finite-time consensus protocol for multi-agent networks is discussed from a new perspective. The order β of the nonlinear function in the protocol is shown to be a crucial parameter in analyzing the finite-time consensus property of multi-agent networks with a detail-balanced communication topology. When β>0, the corresponding protocol can guarantee the consensus of the multi-agent networks. In particular, if β∈(0,1), the consensus can be realized within finite time. A leader-follow model is also investigated in this paper. Finally, several concrete protocols are proposed based on our theoretical analysis, and numerical examples are given to make a comparison among different protocols from the aspect of convergence speed.
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