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Stochastic complex networks synchronize to the limit set with adaptive controller and adaptive delay
Author(s) -
Xu Yuhua,
Wang Yuling,
Zhou Wuneng,
Fang Jian'an
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2977
Subject(s) - bounded function , control theory (sociology) , mathematics , adaptive control , limit (mathematics) , controller (irrigation) , perturbation (astronomy) , set (abstract data type) , stability (learning theory) , mathematical optimization , computer science , control (management) , mathematical analysis , physics , quantum mechanics , artificial intelligence , agronomy , biology , programming language , machine learning
This paper investigates the problem of two stochastic complex networks synchronize to the limit set with adaptive controller and adaptive delay, which are not fully considered in the existing research. A few articles on stability of stochastic complex networks with time‐varying delay is discussed, but the time‐varying delayed and its derivative are bounded on time t . In this paper, the time‐varying delay is adaptive. Also, the coupling matrix with stochastic perturbation is also considered. Copyright © 2013 John Wiley & Sons, Ltd.