TY - JOUR
T1 - Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization
AU - Chen , Huiling
AU - Zhang , Chunmei
AU - Feng , Yuli
AU - Xu , Qin
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 1428
EP - 1455
PY - 2023
DA - 2023/10
SN - 15
DO - http://doi.org/10.4208/aamm.OA-2022-0068
UR - https://global-sci.org/intro/article_detail/aamm/22047.html
KW - Partial topology identification, graph-theoretic method, multi-weighted complex networks, adaptive pinning control, nonlinear coupling.
AB - <p style="text-align: justify;">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.</p>