文章基本信息

标题：Discussion Paper: A New Mathematical Framework for Representation and Analysis of Coupled PDEs
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作者：Matthew M. Peet ; Sachin Shivakumar ; Amritam Das 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：2
页码：132-137
DOI：10.1016/j.ifacol.2019.08.023
语种：English
出版社：Elsevier
摘要：AbstractWe present a computational framework for stability analysis of systems of coupled linear Partial-Differential Equations (PDEs). The class of PDE systems considered in this paper includes parabolic, elliptic and hyperbolic systems with Dirichlet, Neuman and mixed boundary conditions. The results in this paper apply to systems with a single spatial variable. We exploit a new concept of state for PDE systems which allows us to include the boundary conditions directly in the dynamics of the PDE. The resulting algorithms are implemented in Matlab, tested on several motivating and illustrative examples, and the codes have been posted online. Numerical testing indicates the approach has little or no conservatism for a large class of systems and can analyze systems of up to 20 coupled PDEs.
关键词：KeywordsDistributed Parameter SystemsPDELMIConvex