文章基本信息

标题：Boundary control of coupled reaction-advection-diffusion equations having the same diffusivity parameter
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作者：Alessandro Pisano ; Antonello Baccoli ; Yury Orlov 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2016
卷号：49
期号：8
页码：86-91
DOI：10.1016/j.ifacol.2016.07.423
语种：English
出版社：Elsevier
摘要：AbstractWe consider the problem of boundary stabilization for a system ofncoupled parabolic linear PDEs of the reaction-diffusion-advection type. Particularly, we design a state-feedback law with Dirichlet-type actuation on only one end of the domain and prove exponential stability of the closed-loop system with an arbitrarily fast convergence rate. The backstepping method is used for controller design, and the transformation kernel matrix is derived by using the method of successive approximations to solve the corresponding PDE. Simulation results support the effectiveness of the suggested design.
关键词：KeywordsDistributed-parameter systemsReaction-advection-diffusion equationBoundary ControlBackstepping