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Pinning synchronization of nonlinear hybrid‐coupled complex networks with double time delays via aperiodically intermittent adaptive control
Author(s) -
Guo Wanli,
Luo Wenqiang,
He Wennuo
Publication year - 2020
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.3162
Subject(s) - control theory (sociology) , synchronization (alternating current) , nonlinear system , lyapunov stability , intermittent control , lyapunov function , adaptive control , coupling (piping) , computer science , state (computer science) , complex network , control (management) , mathematics , topology (electrical circuits) , control engineering , engineering , physics , algorithm , artificial intelligence , quantum mechanics , mechanical engineering , combinatorics , world wide web
Summary In this article, the synchronization problem for nonlinear hybrid‐coupled complex networks with both coupling and internal self‐feedback delays is studied. An aperiodically intermittent adaptive control is employed for a fraction of nodes to pin the whole network to the synchronization state. Some sufficient conditions for realizing global synchronization are derived based on Halanay inequality and Lyapunov stability theory. Finally, a simulation example verifies the effectiveness of the proposed control method.