文章基本信息

标题：The homological perturbation lemma and its applications to robust stabilization
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作者：A. Quadrat
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2015
卷号：48
期号：14
页码：7-12
DOI：10.1016/j.ifacol.2015.09.425
语种：English
出版社：Elsevier
摘要：AbstractWithin the lattice approach to analysis and synthesis problems, we show how standard results on robust stabilization can be obtained in a unified way and generalized when interpreted as a particular case of the so-calledhomological perturbation lemma.This lemma plays a significant role in algebraic topology, homological algebra, computer algebra, etc. Our results show that it is also central to robust control theory for (infinite-dimensional) linear systems.
关键词：KeywordsRobust controlH^ controlrobust stabilizationhomological perturbation lemmamodels of perturbationsthe lattice approach to analysis and synthesis problems