Synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling

We study synchronization in an array of coupled nonlinear systems with delay and nonreciprocal time-varying coupling and present synchronization criteria which generalize previous synchronization results. We show that the array synchronizes when the nondelay coupling term is cooperative and large en...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 52; no. 5; pp. 282 - 286
Main Author Wu, Chai Wah
Format Journal Article
LanguageEnglish
Published New York IEEE 01.05.2005
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Coupling circuits
Delay systems
directed graphs
Eigenvalues and eigenfunctions
Equations
Lyapunov method
Lyapunov methods
Matrix decomposition
Nonlinear systems
Symmetric matrices
synchronization
Time varying systems
Topology
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Summary:We study synchronization in an array of coupled nonlinear systems with delay and nonreciprocal time-varying coupling and present synchronization criteria which generalize previous synchronization results. We show that the array synchronizes when the nondelay coupling term is cooperative and large enough. Furthermore, we show that the synchronization criteria are related to several matrix quantities describing the coupling topology. These quantities can be considered as generalizations of the concept of algebraic connectivity to directed graphs.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2005.846884