Premium
Synchronization of stochastic complex dynamical networks under self‐triggered control
Author(s) -
Xing Mali,
Deng Feiqi,
Zhao Xueyan
Publication year - 2016
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.3716
Subject(s) - synchronization (alternating current) , computer science , control theory (sociology) , nonlinear system , constant (computer programming) , bounded function , state (computer science) , mechanism (biology) , sampling (signal processing) , control (management) , mathematics , algorithm , artificial intelligence , telecommunications , mathematical analysis , channel (broadcasting) , philosophy , physics , epistemology , quantum mechanics , detector , programming language
Summary In this paper, we investigate the mean square exponential synchronization of stochastic nonlinear complex dynamical networks with or without communication delays. A new self‐triggered mechanism is proposed to reduce the amount of communication while preserving the desired system's performance. Under this mechanism, the next sampling instant is dynamically determined by the latest transmitted state rather than the online detection of the event‐triggered condition. Meanwhile, we show that the inter‐execution time of self‐triggered mechanism is bounded by a strictly positive constant, and the maximal allowable delay of the underlying system is given. A simulation is provided to illustrate the effectiveness of the proposed self‐triggered scenario. Copyright © 2016 John Wiley & Sons, Ltd.