文章基本信息

标题：Robust simulation of rational discrete-time systems via sum of squares relaxations
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作者：Paolo Massioni ; Gérard Scorletti
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：4108-4113
DOI：10.1016/j.ifacol.2017.08.796
语种：English
出版社：Elsevier
摘要：AbstractThis paper concerns the simulation of a class of nonlinear discrete-time systems under a set of initial conditions described by an ellipsoid. We derive a procedure allowing the propagation of such ellipsoids through time, which makes it possible to set a guaranteed hard bound on the evolution of the state of the system for all the possible initial conditions. At the end of the paper, we show an application of the method through three academics examples, two of which are taken from the theory of fractals.
关键词：KeywordsDiscrete-time systemslinear matrix inequalitiessum of squaresrobust simulationfractals