文章基本信息

标题：A Swapping Lemma for Switched Systems ⁎
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作者：Tobias Holicki ; Carsten W. Scherer
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：25
页码：346-352
DOI：10.1016/j.ifacol.2018.11.131
语种：English
出版社：Elsevier
摘要：AbstractRobust stability of a class of linear time-invariant systems affected by piecewise constant parameters with dwell-time constraints is considered. In contrast to other approaches the proposed result relies on separation techniques within the framework of integral quadratic constraints and is based on a novel version of the swapping lemma. In particular, our result allows to take additional knowledge on the variation of the parameter into account. The obtained conditions are expressed as infinite-dimensional linear matrix inequalities which can be solved, e.g., by using sum-of-squares relaxation methods. We illustrate the proposed approach with a numerical example.
关键词：KeywordsSwitched systemsintegral-quadratic-constraintsrobust stabilityclock-dependent conditionslinear matrix inequalities