文章基本信息

标题：On the correspondence of hyperbolic geometry and system analysis
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作者：István Gőzse ; Tamás Péni ; Tamás Luspay 等
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：9285-9290
DOI：10.1016/j.ifacol.2017.08.917
语种：English
出版社：Elsevier
摘要：AbstractDifferent aspects of the relation between hyperbolic geometry and linear system theory are discussed in this paper. The underlying connection is presented by an intuitive example that points out the basic motivations. It is shown that the convergence factor of Laguerre series expansion is equal to the hyperbolic distance, under certain conditions. Preliminary results are also reported, connecting the H∞norm and ν-gap metric with the hyperbolic distance. Furthermore, the equivalence of (i) the H∞norm of the difference of two first order LTI system, (ii) the ν-gap of these systems and (iii) the hyperbolic distance is also proved, under specified assumptions.
关键词：KeywordsLinear systemsHyperbolic geometryOrthogonal basis functionsν-gap metricH∞norm