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Adaptive aperiodically intermittent control for pinning synchronization of directed dynamical networks
Author(s) -
Cheng Liyan,
Qiu Jianlong,
Chen Xiangyong,
Zhang Ancai,
Yang Chengdong,
Chen Xiao
Publication year - 2019
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.4467
Subject(s) - control theory (sociology) , synchronization (alternating current) , intermittent control , lyapunov function , convergence (economics) , computer science , controller (irrigation) , directed graph , adaptive control , linear matrix inequality , mathematics , control (management) , topology (electrical circuits) , mathematical optimization , control engineering , physics , engineering , algorithm , nonlinear system , artificial intelligence , agronomy , combinatorics , quantum mechanics , economics , biology , economic growth
Summary In this paper, we investigate the pinning synchronization of directed complex network with time‐varying delay under the adaptive aperiodically intermittent control. First, the model of a directed complex network is established, the interaction graph of which is not required to contain a directed spanning tree, and for which an adaptive aperiodically intermittent feedback controller is well designed. In addition, based on the Lyapunov function method and linear matrix inequality technique, several asymptotical synchronization criteria are derived via an aperiodically intermittent strategy, which is superior to the periodical scheme. Moreover, the adaptive strategy providing the exponential convergence rate and the pinning algorithm demonstrating how to select pinned nodes are presented. Finally, numerical examples are provided to illustrate the effectiveness of the derived theoretical results.