Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization
Year: 2023
Author: Huiling Chen, Chunmei Zhang, Yuli Feng, Qin Xu
Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 6 : pp. 1428–1455
Abstract
This article aims to identify the partial topological structures of delayed complex network. Based on the drive-response concept, a more universal model, which includes nonlinear couplings, stochastic perturbations and multi-weights, is considered into drive-response networks. Different from previous methods, we obtain identification criteria by combining graph-theoretic method and adaptive synchronization. After that, the partial topological structures of stochastic multi-weighted complex networks with or without time delays can be identified successfully. Moreover, response network can reach synchronization with drive network. Ultimately, the effectiveness of the proposed theoretical results is validated through numerical simulations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2022-0068
Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 6 : pp. 1428–1455
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Partial topology identification graph-theoretic method multi-weighted complex networks adaptive pinning control nonlinear coupling.
Author Details
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