文章基本信息

标题：Approximating regions of attraction of a sparse polynomial differential system ⁎
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作者：Matteo Tacchi ; Carmen Cardozo ; Didier Henrion 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：3266-3271
DOI：10.1016/j.ifacol.2020.12.1488
语种：English
出版社：Elsevier
摘要：AbstractMotivated by stability analysis of large scale power systems, we describe how the Lasserre (moment - sums of squares, SOS) hierarchy can be used to generate outer approximations of the region of attraction (ROA) of sparse polynomial differential systems, at the price of solving linear matrix inequalities (LMI) of increasing size. We identify specific sparsity structures for which we can provide numerically certified outer approximations of the region of attraction in high dimension. For this purpose, we combine previous results on non-sparse ROA approximations with sparse semi-algebraic set volume computation.
关键词：KeywordsStability analysisConvex optimisationLarge-scale systemsElectric power systems