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dc.contributor.authorYu, X.
dc.contributor.authorXu, C.
dc.contributor.authorLin, Qun
dc.date.accessioned2017-01-30T15:07:24Z
dc.date.available2017-01-30T15:07:24Z
dc.date.created2014-10-06T20:00:20Z
dc.date.issued2014
dc.identifier.citationYu, X. and Xu, C. and Lin, Q. 2014. A feedback control method for the stabilization of a nonlinear diffusion system on the graph. Chinese Physics B. 23 (8): pp. 080206-1-080206-6.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/43432
dc.identifier.doi10.1088/1674-1056/23/8/080206
dc.description.abstract

In this paper, we consider the internal stabilization problems of FitzHugh–Nagumo (FHN) systems on the locally finite connected weighted graphs, which describe the process of signal transmission across axons in neurobiology. We will establish the proper condition on the weighted Dirichlet–Laplace operator on a graph such that the nonlinear FHN system can be stabilized exponentially and globally only using internal actuation over a sub-domain with a linear feedback form.

dc.publisherInstitute of Physics Publishing Ltd.
dc.subjectMathematical physics
dc.subjectStatistical physics and nonlinear systems
dc.titleA feedback control method for the stabilization of a nonlinear diffusion system on the graph
dc.typeJournal Article
dcterms.source.volume23
dcterms.source.number8
dcterms.source.issn1674-1056
dcterms.source.titleChinese Physics B
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusFulltext not available


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