兩類耦合超圖網(wǎng)絡(luò)狀態(tài)估計(jì)研究

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中圖分類號(hào)：TP273；O231.5文獻(xiàn)標(biāo)識(shí)碼：A

Abstract：This paper investigates the node state estimation of hypergraphs. First， the network model of hypergraphs with pairwise and triplet interactions is built. Second， considering the presence and absence of diffusive coupling，the observer networks are established，and the error dynamical networks are constructed for the two types of hypergraph network models，respectively. Then，using the Lyapunov stability theory， the asymptotic stability of the two types of error dynamical networks is proved and suficient conditions for state estimation are derived. Finally， the accuracy and effectiveness of the proposed method are verified by numerical simulations. The results indicate the applicability of our method in accurately estimating states within the diffusively coupled and non-diffusively coupled hypergraphs，thereby advancing our capabilities in estimating and controlling higher-order complex networks.

Keywords： hypergraphs； state estimation; Lyapunov stability theory; error dynamical network; linear matrix inequalities

0 引言

在過(guò)去二十年里，復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò)已經(jīng)廣泛用于描述相互關(guān)聯(lián)的實(shí)際系統(tǒng)和網(wǎng)絡(luò)，包括電網(wǎng)[1]、交通網(wǎng)絡(luò)[2]、生態(tài)系統(tǒng)[3等。（剩余7502字）