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| On State Estimation for Hypergraphs with Two Types of Coupling |
| ZHOU Xuanxin, WU Yayong, JIANG Guoping
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1. College of Automation and College of Artificial Intelligence, Nanjing University of Posts and Telecommunications;
2. Jiangsu Engineering Center for IOT Intelligent Robots (IOTRobot), Nanjing 210023, China |
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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 sufficient 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.
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Received: 14 September 2024
Published: 03 June 2025
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