Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization

作     者：Huiling Chen Chunmei Zhang Yuli Feng Qin Xu 

作者机构：School of MathematicsSouthwest Jiaotong UniversityChengduSichuan 610031China 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2023年第15卷第6期

页      面：1428-1455页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(No.11601445) the Fundamental Research Funds for the Central Universities(No.2682020ZT109) the Central Governments Funds for Guiding Local Scientific and Technological Development(No.2021ZYD0010) 

主　　题：Partial topology identification graph-theoretic method multi-weighted complex networks adaptive pinning control nonlinear coupling 

摘      要：This article aims to identify the partial topological structures of delayed complex *** on the drive-response concept,a more universal model,which includes nonlinear couplings,stochastic perturbations and multi-weights,is considered into drive-response *** from previous methods,we obtain identification criteria by combining graph-theoretic method and adaptive *** that,the partial topological structures of stochastic multi-weighted complex networks with or without time delays can be identified ***,response network can reach synchronization with drive ***,the effectiveness of the proposed theoretical results is validated through numerical simulations.