|Adaptive Consensualization for Lipschitz Nonlinear-type Multi-agent Networks with Fixed Topologies
Tang Zheng, Jianxiang Xi*, Mei Yuan, and Guangbin Liu
International Journal of Control, Automation, and Systems, vol. 16, no. 4, pp.1493-1501, 2018
Abstract : "Adaptive consensualization problems for Lipschitz nonlinear-type multi-agent networks with fixed
topologies are addressed. By using the state errors of the neighboring agents, an adaptive consensus protocol is
proposed to deal with the consensualization problems. To eliminate the impacts of the Lipschitz nonlinear dynamics,
the structure property of a transformation matrix and the Laplacian matrix, and the Lipschitz condition are
well utilized. In the Lyapunov function, a scaling constant is introduced to eliminate the impacts of eigenvalues of
the Laplacian matrix, which are the global information of the whole multi-agent networks. Then, an completely
distributed consensualization criterion is presented in terms of the linear matrix inequality. Furthermore, an explicit
expression of the consensus function and its initial state of this multi-agent network are presented. In the Final, a
numerical example is shown to verify the validity of theoretical results."
Adaptive consensualization, consensus function, Lipschitz nonlinear, multi-agent network.