文章基本信息

标题：A constructive algebraic analysis approach to Artstein's reduction of linear time-delay systems
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作者：A. Quadrat
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2015
卷号：48
期号：12
页码：209-214
DOI：10.1016/j.ifacol.2015.09.379
语种：English
出版社：Elsevier
摘要：Artstein's results show that a first-order linear differential system with delayed inputs is equivalent to a first-order linear differential system without delay under an invertible transformation which includes integral and time-delay operators. Within a constructive algebraic approach, we show how this reduction can be found again, generalized and interpreted as a particular isomorphism between modules defining the two above linear systems. Moreover, we prove that Artstein's reduction can be obtained in an automatic way by means of symbolic computation techniques, and thus can be implemented in dedicated computer algebra systems.
关键词：Algebraic analysis approachlinear differential time-delay systemsArtstein's reductionrings of integro-differential time-delay operatorsmodule theorycomputer algebra