文章基本信息

标题：State Feedback Stabilization of the Linearized Bilayer Saint-Venant Model
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作者：Ababacar Diagne ; Shuxia Tang ; Mamadou Diagne 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：130-135
DOI：10.1016/j.ifacol.2016.07.431
语种：English
出版社：Elsevier
摘要：AbstractWe consider the problem of stabilizing the bilayer Saint-Venant model, which is a coupled system of two rightward and two leftward convecting transport partial differential equations (PDEs). In the stability proofs, we employ a Lyapunov function in which the parameters need to be successively determined. To the best of the authors’ knowledge, this is the first time this kind of Lyapunov function is employed, and this result is the first one on the stabilization of the linearized bilayerSaint-Venantmodel. Numerical simulations of the bilayerSaint-Venantproblem are also provided to verify the result.
关键词：KeywordsBackstepping controlBilayerSaint-VenantmodelState feedback stabilizationState-varying coefficientscoupled PDEs