Premium
Synchronization in nonlinear complex networks with multiple time‐varying delays via adaptive aperiodically intermittent control
Author(s) -
Zhang Chuan,
Wang Xingyuan,
Wang Chunpeng,
Liu Zhuang
Publication year - 2019
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2957
Subject(s) - control theory (sociology) , synchronization (alternating current) , nonlinear system , intermittent control , computer science , lyapunov stability , lyapunov function , adaptive control , control (management) , stability (learning theory) , topology (electrical circuits) , control engineering , mathematics , engineering , artificial intelligence , physics , telecommunications , channel (broadcasting) , quantum mechanics , machine learning , combinatorics
Summary This article is concerned with the problem of synchronization in nonlinear complex networks with multiple time‐varying delays via adaptive aperiodically intermittent control. The couplings inside nodes are assumed to be nonlinear and subject to multiple time‐varying delays. Meanwhile, the connection topology among the nodes can be directed and weighted. Then, the adaptive aperiodically intermittent control method is employed to realize synchronization and automatic modification to compensate the changes in dynamic errors. In addition, several synchronization criteria are rigorously induced based on the Lyapunov stability theory. Finally, the proposed control method is evaluated by utilizing numerical simulation. The results can be also applied to linear complex networks with delays.