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Crossed Synchronization of Multiple Subnets Complex Network System with Time‐Varying Delay
Author(s) -
Bifeng Zhou,
Yiping Lou,
Yaoxiang Zhong
Publication year - 2017
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1421
Subject(s) - synchronization (alternating current) , control theory (sociology) , complex network , controller (irrigation) , lyapunov stability , dual (grammatical number) , stability (learning theory) , basis (linear algebra) , complex system , topology (electrical circuits) , synchronization networks , computer science , mathematics , control (management) , art , geometry , literature , combinatorics , artificial intelligence , machine learning , agronomy , biology , world wide web
A dual‐time varying delay complex network system is formed by a plurality of sub‐networks. This paper discusses the crossed synchronization stability of such systems on the basis of crossed synchronization definition between the sub‐nets. By the Lyapunov stability theory with the Zero Theorem, we obtained a sufficient condition that a synchronization exponentially stable controller exists in the complex network system, with characteristic variable delay. The relationship between the complex network nodes are discussed, and the two nodes must be connected and can interact with each other so it has the actual coupling strength. Finally, combining the given conditions, a numerical simulation illustrates its effectiveness.