A feedback control method for the stabilization of a nonlinear diffusion system on a graph  

作　　者：于欣 许超 林群 

机构地区：[1]Ningbo Institute of Technology, Zhejiang University [2]The State Key Laboratory of Industrial Control Technology and Institute of Cyber-Systems & Control, Zhejiang University [3]Department of Mathematics and Statistics, Curtin University

出　　处：《Chinese Physics B》2014年第8期240-245,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.61374096,61104048,and 11231007);the Natural Science Foundation of Zhejiang Province,China(Grant No.Y6110751)

摘　　要：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.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.

关 键 词：FitzHugh-Nagumo system GRAPH STABILIZATION internal controller 

分 类 号：O157.5[理学—数学]