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Murguia, C.; Fey, R. H. B.; Nijmeijer, H.

Network synchronization by dynamic diffusive coupling. (English) Zbl 1270.34151

Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350076, 12 p. (2013).
Summary: The problem of controlled network synchronization for a class of nonlinear observable systems interconnected via dynamic diffusive coupling is studied. We construct a dynamic diffusive coupling combining a nonlinear observer and an output feedback controller. Sufficient conditions on the systems to be interconnected, on the network topology, and on the coupling strength that guarantee (global) synchronization are derived. Moreover, using the notion of semipassivity, we prove that under some mild assumptions, the solutions of interconnected semipassive systems are ultimately bounded. The results are illustrated by computer simulations of coupled FitzHugh-Nagumo oscillators.

Cited in 2 Documents

MSC:

34D06 Synchronization of solutions to ordinary differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
93B07 Observability
93B52 Feedback control
93D25 Input-output approaches in control theory

Keywords:

synchronization; diffusive coupling; nonlinear observer; dynamic coupling; convergent systems; (semi-)passivity
PDFBibTeX XMLCite
\textit{C. Murguia} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350076, 12 p. (2013; Zbl 1270.34151)
Full Text: DOI

References:

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