文章基本信息

标题：Approximate computation of storage functions for discrete-time systems using sum-of-squares techniques ⁎
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作者：Simon Pirkelmann ; David Angeli ; Lars Grüne 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：16
页码：508-513
DOI：10.1016/j.ifacol.2019.12.012
语种：English
出版社：Elsevier
摘要：In this paper we present a method for automated verification of dissipativity by numerical means for discrete time systems with polynomial dynamics and stage cost. It relies on sum-of-squares techniques in order to compute storage functions that satisfy a dissipation inequality. The method can also be used to treat systems subject to constraints. Moreover, an Taylor approximation based extension to more general nonlinear stage costs is presented which enables the computation of approximate local storage functions.
关键词：KeywordsDissipativityStorage FunctionsSum-of-SquaresPolynomial SystemsTaylor Approximations