Identifying topologies and system parameters of uncertaintime-varying delayed complex networks  

作　　者：WANG Xiong GU HaiBo WANG QianYao Lü JinHu 

机构地区：[1]LSC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences [2]School of Mathematical Sciences, University of Chinese Academy of Sciences [3]School of Automation Science and Electrical Engineering, State Key Laboratory of Software Development Environment, and Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University

出　　处：《Science China(Technological Sciences)》2019年第1期94-105,共12页中国科学（技术科学英文版）

基　　金：supported by the National Key Research and Development Program of China(Grant No.2016YFB0800401);the National Natural Science Foundation of China(Grant Nos.61621003,61532020 and11472290)

摘　　要：Node dynamics and network topologies play vital roles in determining the network features and network dynamical behaviors.Thus it is of great theoretical significance and practical value to recover the topology structures and system parameters of uncertain complex networks with available information. This paper presents an adaptive anticipatory synchronization-based approach to identify the unknown system parameters and network topological structures of uncertain time-varying delayed complex networks in the presence of noise. Moreover, during the identification process, our proposed scheme guarantees anticipatory synchronization between the uncertain drive and constructed auxiliary response network simultaneously. Particularly, our method can be extended to several special cases. Furthermore, numerical simulations are provided to verify the effectiveness and applicability of our method for reconstructing network topologies and node parameters. We hope our method can provide basic insight into future research on addressing reconstruction issues of uncertain realistic and large-scale complex networks.Node dynamics and network topologies play vital roles in determining the network features and network dynamical behaviors.Thus it is of great theoretical significance and practical value to recover the topology structures and system parameters of uncertain complex networks with available information. This paper presents an adaptive anticipatory synchronization-based approach to identify the unknown system parameters and network topological structures of uncertain time-varying delayed complex networks in the presence of noise. Moreover, during the identification process, our proposed scheme guarantees anticipatory synchronization between the uncertain drive and constructed auxiliary response network simultaneously. Particularly, our method can be extended to several special cases. Furthermore, numerical simulations are provided to verify the effectiveness and applicability of our method for reconstructing network topologies and node parameters. We hope our method can provide basic insight into future research on addressing reconstruction issues of uncertain realistic and large-scale complex networks.

关 键 词：SYSTEM parameters and network TOPOLOGIES identification anticipatory synchronization UNCERTAIN time-varying delayed COMPLEX NETWORKS noise-perturbed COMPLEX NETWORKS 

分 类 号：TH[机械工程]