文章基本信息

标题：Equivalence and reduction of delay-differential systems
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作者：Mohamed Salah Boudellioua
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2007
卷号：17
期号：1
DOI：10.2478/v10006-007-0002-7
出版社：De Gruyter Open
摘要：A new direct method is presented which reduces a given high-order representation of a control system with delays to a first-order form that is encountered in the study of neutral delay-differential systems. Using the polynomial system description (PMD) setting due to Rosenbrock, it is shown that the transformation connecting the original PMD with the first-order form is Fuhrmann's strict system equivalence. This type of system equivalence leaves the transfer function and other relevant structural properties of the original system invariant
关键词：polynomial matrix description; neutral delay-differential systems; strict system equivalence; determinantal ideals; Gröbner bases