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Quasi‐synchronization of multilayer heterogeneous networks with a dynamic leader
Author(s) -
Yang Huihui,
Wang Zhengxin,
Song Qiang,
Liu Xiaoyang,
Xiao Min
Publication year - 2020
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4903
Subject(s) - synchronization (alternating current) , lyapunov stability , heterogeneous network , control theory (sociology) , complex network , computer science , coupling (piping) , stability (learning theory) , node (physics) , matrix (chemical analysis) , upper and lower bounds , lyapunov function , topology (electrical circuits) , stability theory , class (philosophy) , distributed computing , control (management) , mathematics , nonlinear system , physics , engineering , telecommunications , mathematical analysis , artificial intelligence , materials science , world wide web , composite material , quantum mechanics , wireless , mechanical engineering , wireless network , combinatorics , machine learning
Summary This article considers the pinning quasi‐synchronization problem for a class of leader‐following multilayer heterogeneous complex networks. The leader has nonzero control inputs that are unavailable to the followers. Multilayer heterogeneous networks with heterogeneous node dynamics and two different layer structures are proposed in this article. Two types of discontinuous coupling laws are designed for achieving synchronization in multilayer heterogeneous networks. Based on Lyapunov stability theory and the matrix theory, some sufficient criteria for pinning quasi‐synchronization are derived, and the upper bound of quasi‐synchronization errors is solved. Finally, numerical simulations are performed to illustrate the effectiveness of the theoretical results.