A feedback control method for the stabilization of a nonlinear diffusion system on the graph
| dc.contributor.author | Yu, X. | |
| dc.contributor.author | Xu, C. | |
| dc.contributor.author | Lin, Qun | |
| dc.date.accessioned | 2017-01-30T15:07:24Z | |
| dc.date.available | 2017-01-30T15:07:24Z | |
| dc.date.created | 2014-10-06T20:00:20Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Yu, 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.uri | http://hdl.handle.net/20.500.11937/43432 | |
| dc.identifier.doi | 10.1088/1674-1056/23/8/080206 | |
| 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.publisher | Institute of Physics Publishing Ltd. | |
| dc.subject | Mathematical physics | |
| dc.subject | Statistical physics and nonlinear systems | |
| dc.title | A feedback control method for the stabilization of a nonlinear diffusion system on the graph | |
| dc.type | Journal Article | |
| dcterms.source.volume | 23 | |
| dcterms.source.number | 8 | |
| dcterms.source.issn | 1674-1056 | |
| dcterms.source.title | Chinese Physics B | |
| curtin.department | Department of Mathematics and Statistics | |
| curtin.accessStatus | Fulltext not available |